Find the derivative of a✓tan(5x-7)
Answer:
[tex]\displaystyle y' = \frac{5a \sec^2 (5x - 7)}{\sqrt{\tan (5x - 7)}}[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Derivative Property [Addition/Subtraction]: [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
*Note:
Treat a as an arbitrary constant.
Step 1: Define
Identify
[tex]\displaystyle y = a\sqrt{\tan (5x - 7)}[/tex]
Step 2: Differentiate
Derivative Property [Multiplied Constant]: [tex]\displaystyle y' = a\frac{d}{dx} \Big( \sqrt{\tan (5x - 7)} \Big)[/tex]Basic Power Rule [Derivative Rule - Chain Rule]: [tex]\displaystyle y' = \frac{a}{\sqrt{\tan (5x - 7)}} \cdot \frac{d}{dx}[\tan (5x - 7)][/tex]Trigonometric Differentiation [Derivative Rule - Chain Rule]: [tex]\displaystyle y' = \frac{a \sec^2 (5x - 7)}{\sqrt{\tan (5x - 7)}} \cdot \frac{d}{dx}[5x - 7][/tex]Basic Power Rule [Derivative Properties]: [tex]\displaystyle y' = \frac{5a \sec^2 (5x - 7)}{\sqrt{\tan (5x - 7)}}[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
11)
0.00921
000920d
6 861125
D D 이
86000
A 56000 0 2
Answer:1a
Step-by-step explanation:
fin the solution − 6 ( 2 x + 1 ) = 54 .
Which is a complete list of factors of each term in the expression 16 a + 18 a b?
16a: 1, 2, 4, 8, 16
18ab: 1, 2, 3, 6, 9, 18
16a: 1, 2, 4, 8, 16, a
18ab: 1, 2, 3, 6, 9, 18, b
16a: 2, 4, 8, a
18ab: 2, 3, 6, 9, a, b
16a: 1, 2, 4, 8, 16, a
18ab: 1, 2, 3, 6, 9, 18, a, b
Answer:
d
Step-by-step explanation:
Answer:
the answer is d.
Step-by-step explanation:
Solve the system please
Answer:
(2,-1,1) I believe
What the answer is for the question
If f(x) =2−x/3−x^2, then determine f(−1)
Answer:
1.5
I hope it will be useful.
Joshua is driving to visit his friend who lives 165 miles away. He has driven 25 miles, and now he hopes to drive 40 miles per hour the rest of the way. How many more hours will it take Joshua to reach his friends house
Answer: akcbebvu9pewgrvw8ugvubeufhfhef89h8efhw9a9s
Answer:
top one is correct yessss
find the inequalities represented by the graph?
Answer:
,
Step-by-step explanation:
,...
Pleaseeeee helppppp Asapppp!!!!!
What is the midline of this function ??
The midline is the line Y=0 .
(That's the x-axis.)
helppppo plss
zoom in on picture if u need but i need answer soon
Answer: third number line
Step-by-step explanation:
An item is regularly priced at $20. It is on sale for 35% off the regular price. What is the sale price?
Answer:
The sale price is $7.00
Step-by-step explanation:
do that for me and you get 12points
Answer:
25
Step-by-step explanation:
Which method would you choose to solve the following system?
-5x + 2y = 15
y = - 3x - 20
Equal Values Method
O Substitution Method
O Graphing Method
Elimination Method
Answer: combining like terms
Step-by-step explanation:
whoever answers fastest, consider it a gift
Answer:
um ok
Step-by-step explanation:
2- y + 6 + 4y + 4 + 7y
Answer:
10y+12, if your simplifying but if your looking for the factor its 2(5y+6)
Step-by-step explanation:
Answer:
1.2
Step-by-step explanation:
Add the common variables, -y, 4y, and 7y, to get 10y. Then add the regular numbers 2, 6, 4, to get 12. I think youre trying to get y so it would be 1.2 (Sorry if its wrong)
Hey I'm doing a map test who know the answer
Answer:
the answer is 60 ( 22+8+8+12+5+5
please help me this.Thank you
Answer:
[tex]x=\frac{15+\sqrt{165} }{6}, \frac{15-\sqrt{165} }{6}[/tex]
These should be the the two values for x
Explanation:
A tile backsplash is being installed. The installation fee is $150.00. The tile is priced at $2.75 per square foot, x. which equation best represents the total cost, y, of the backsplash?
Answer: y = 150 + 2.75x
Step-by-step explanation:
Since we are informed that the installation fee is $150.00 and that the tile is priced at $2.75 per square foot, x, the total cost, y, of the backsplash will be the addition of the fixed cost of $150.00 plus $2.75 multiplied by the number of square foot. This will be expressed as:
y = 150 + 2.75x
where,
x = number of square foot.
Find the answer (5x) + (4x) + (6y)
Answer:
9 x + 6 y
Step-by-step explanation:
solve 2 log3 x + log3 5 =125
Answer:
x = √(3^125/ 5)
approx 2.9552445 * 10^29.
Step-by-step explanation:
2 log3 x + log3 5 =125
log3 x^2 + log3 5 = 125
log3 (5x^2) = 125
3^125 = 5x^2
x^2 = 3^125/ 5
x = √(3^125/ 5)
This is a huge number
An approximation of it is 2.9552445 * 10^29.
Which graph represents the solution to the compound inequality?
-6<3x-12 s9
1 2
O
o3 6 9 12 15
O 30 369 12 15
Step-by-step explanation:
-6 < 3x - 12 <= 9
6 < 3x <= 21 (add 12)
2 < x <= 7 (divide by 3)
The graph that correct represents this solution set is the 2nd graph.
Due in 30 minutes. Help please!
Answer:
1st one
Step-by-step explanation:
jeushrueussboshfndksd
Answer:
I am pretty sure its the very last one.
Step-by-step explanation:
Is this a parallelogram if so by which theorem
Answer:
Egghead
Step-by-step explanation:
————————————————————————————-
Answer:q
Step-by-step explanation:
(a) A tall tree of height 60m is broken due to the strong wind. If the upper 40m
broken part of the tree touches the level ground, calculate the angle made by the
broken part with the horizontal line. Also calculate the horizontal distance
between the bottom of the tree and the point at which the broken part of the
tree touches the ground level.
Answer:
The angle is 30° and the horizontal line is 23.094 m.
Step-by-step explanation:
The angle (x):
[tex] \sin(x) = 20 \div 40[/tex]
[tex] \sin(x) = 0.5[/tex]
[tex]x = { \sin }^{ - 1} (0.5)[/tex]
[tex]x = 30[/tex]
The horizontal line (y):
[tex] \cos(30) = 20 \div y[/tex]
[tex]y \cos(30) = 20[/tex]
[tex]y = 20 \div \cos(30) [/tex]
[tex]y = 23.094[/tex]
Plsss helpp me Achiedle is cut from a square piece of cloth, as shown:
How many square inches of cloth are cut from the square? (n = 3.14)
Answer:
B
Step-by-step explanation:
I think the answer is B but I could be wrong! I'm 98% confident in my answer though!
A proportional relationship between the number of pounds of pickling cucumbers (x) and the price in dollars (y) can be graphed, and the ordered pair (6, 4) would be on the graphed line.
Part A: What is the price of 1 pound of pickling cucumbers? Show your work. (8 points)
Part B: What does the ordered pair (12, 8) on the graph represent? Explain in words. (2 points)
Part A: What is the price of 1 pound of pickling cucumbers?
Answer: after surveying the selection, we discovered that 1 pound is equal to 6 to 7 pickling cucumbers that are 3 to 4 inches in length. We decided to use 1 pound of pickling cucumbers for ours calculation sample.
Part B: What does the ordered pair (12, 8) on the graph represent?
Answer: number are plotted on graph quadrants in what are known as ordered pair. An ordered pair consists of two values, x and y. In an ordered pair, x is always the first value and y is always the second value.
Step-by-step explanation: I think this is what you want, hope this help
if a watch loses 30 seconds every 1 hour .if the watch was set right on sunday at 11:30pm what time did it show after 10hrs
Answer:
9:25
Step-by-step explanation:
Answer:
9:25 am
Step-by-step explanation:
losing 30 seconds every hour would be the same as losing one minute every 2 hours
since there are 5 2-hour intervals in 10 hours, the time if off by 5 minutes
instead of 9:30am it is 9:25 am
What is the product?
3 6 1
2
24 OX|0
0 6 2
1
Answer:
[7]
[4]
[2]
Step-by-step explanation:
The first matrices has 3 rows and 3 columns.
The second matrices has 3 rows and 1 column.
Therefore, your result with have 3 rows and 1 column because the smaller row and column is used.
Solve:
[3 * 2 + 6 * 0 + 1 * 1] [7]
[2 * 2 + 0 * 0 + 0 * 1] = [4]
[0 * 2 + 6 * 0 + 2 * 1] [2]