Find all possible functions with the given derivative. = రx = 1x 2x

Q: Calculate the derivative of the following functions

A: We first expand the inside of the function.

Q: Find the derivative of the following: y = ln( x^5 + 7) ^ 4pi

A:

Q: Determine the derivative of the following functions. y = 4x sin^-1 (3x-9)

A: Determine the derivative of the following functions. y = 4x sin^-1 (3x-9)

Q: y =10csc 3x %3D

A:

Q: Find the derivative of the following function 8x y = In 4x y'=

A: Since the given function is a ratio of two differentiable functions, we use the quotient rule.

Q: 33. G(x) = 4C/s

A: on doing differentiation with respect to  x we get

Q: Determine and simplify the second derivative of the following function: h(x)=sin²(2x)

A: For this question we have to use chain rule of derivative so I'm providing hand written solution for…

Q: Find the derivative of the following function. 3x f(x) = e X+5 3x dx -*+5

A:

Q: find the derivative. y = csc−1(x−1)

A: Given: y=csc-1x-1. To find the derivative. Solution: We know that, a-n=1an So, y=csc-1x-1 can be…

Q: Find the derivative of the following function. ​[ln(x^8)]3

A:

Q: Find all possible functions with the given derivative. y'=-5+7/x^2

A:

Q: Find the derivative of the function. g(x) = e¯x + 3e2x – 1e-x + 17

A: Use the property for the exponents to simplify the function g(x).

Q: Find derivative of the following function. 7x -7x + e y = X

A:

Q: Find all possible functions with the given derivative. y = 5x -7x

A: y'=5x2-7x

Q: Find the derivative of the following function. flx) = log.8x

A:

Q: Find the derivative of the function f(x)=ln(10e^13x−7).

A: Note: Since you didn't use parenthesis while writing the function, there can be two possibilities…

Q: 1+cscx 7. h(x)=- 1-csc x

A:

Q: Find derivative. Yca) = tban (20te

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Q: y = 5 tan-1(10x® + 5x°) [log.(x10 + 3x7)]

A: Topic = Derivative

Q: Find the derivative of the function. y = In(12x)

A:

Q: Calculate the derivative of the following functions. ƒ(x) = xe7x

A: Given: fx=xe7x for finding derivative of given function we use product rule of differentiation…

Q: Find the derivative of each function.ƒ(x) = ln(x2 + 1)

A: the given function is: f(x)=lnx2+1 we have to find the derivative of the given function.

Q: y = 6+4 Vx csc x

A: Topic = Derivative

Q: Find the derivative of the function f(x) = 7x sin(4x).

A:

Q: y = √√2x + 7

A:

Q: Find the derivative of the following functions and simply it whenever possible. 3. y =…

A: This is a problem related to derivative of the function. Based on the general formula of the…

Q: Find the derivative: h(x)= 3 tan*(e²*)

A: Question based on derivatives application.

Q: Find the derivative of the function f(x) = 36x arccos(4x) + 9/1 – 16x? f'(x)

A: we will solve using product rule and chain rule of derivative

Q: Evaluate the derivative of the following function. ƒ1y2= tan-112y2 - 42

A: Consider the given derivative fy=tan-112y2-42

Q: Find the derivative of the following functions and simply it whenever possible. 1. y = 34x

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Q: Find the derivative of ?(?) = 6 sec2(7x? − 3).

A: Follow the procedure given below.

Q: 6. y F-2x

A: The given function y=31-2x2

Q: calculate the derivative of the following function. [ln(x^8)]^3

A:

Q: Evaluate the following and determine the second derivative Find y' if x2+ 4x + y = 0

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Q: Find the derivative of the following functions: y= 7e^x - x4?

A:

Q: Fg(x) = 1 Vx-1

A:

Q: Find the derivative of the following exponential and logarithmic functions: (i) ecosx-sinx ii. In(3x…

A:

Q: Find the derivative of the following function 1. f(x) = 5x' - 32x + e?

A:

Q: 8x+9 In(, x3 dx

A: Here we will sove derivative of given function,

Q: y = 2 x + 2 -3+x

A:

Q: y = (1+x)² 2 x² 2

A:

Q: f(x) = Vx + 9

A: We have to find the derivative of the function: fx=x+9 We know the formula of differentiation,…

Q: Find the derivative of each function.y = ln |5x|

A: Given- y=ln5x To find- The derivatiove of the above expression.

Q: Find the second derivative y" if y = elnx³

A: Given,            y=elnx3

Q: Find the derivative of the function. h(x) = ln(2x2 + 1)

A:

Q: find the derivative of the given function. f(x)= 3x2- sin(x)/x

A: Given

Q: Find all possible functions with the given derivative. 7) y' = 5x2 + 1 %3D

A: solution = y' = 5x2 + 1  y' = dy/dx dy/dx = 5x2 + 1 ∫dy = ∫(5x2 + 1 ) dx + c  [ yn dy = yn+1 ] y…

Q: Find the derivative of each function.. y = ln(8x)

A: To find:            The derivative y = ln(8x)     Formula:  1) ddx(log u(x)) = 1u(x)du(x)dx2)…

Q: Please solve and simplify

A: Simplify the given function as follows.

Q: second

A: y'=ddxlog x-1x+1=1(x-1)1/2(x+1)1/2 ddx x-1x+1 =1(x-1)1/2(x+1)1/2121(x-1)1/2(x+1)1/2 ddxx-1x+1…