Find Ay and f'(x)Ax for y = f(x) = 6x, x =4, and Ax = 0.06.

Q: Find the domain and range for f(x, y) = y² /x³ – y.

A: The given function is: f(x,y)=y2x3-y Now, the function is defined for all y but if  x3-y≥0⇒x3≥y⇒x≥y3…

Q: 13. y = (3x +1)e³x

A: Explanation of the solution is given below...

Q: .x = t² – 2t – 11 and y = t(t – 4)³ – 3t²(t – 4)² + 7

A: Given:- x = t² - 2t - 11 and y=t(t-4)³ - 3t²(t-4)² +7 To find:- y'

Q: Given f(x) = + 5, find the domain and range of f-'(x). %3D X – 3

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Q: If f(2)=9 and f'(2)=2, estimate f(1.9).

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Q: Find the derivative of the function f(x) = 4v3x² – x. 12х - 2 A. V3x2-1 6х - 2 бх — 1 C. V3x2 –1 E.…

A: To find the derivative of f(x)=43x2-x

Q: 2t5 + t2 – 5 h (t) = t2

A:

Q: For the function f(x) x + x3, find all of the relative and absolute extrema using the first or…

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Q: 1. 5 Let the function s(t)- 111 x² + 10x + 15 represent the motion of a toy car as it travels near a…

A: Note: Since, the student has mentioned a typing error in the function and want to replace the x's…

Q: 1. x = 4t3 – t2 +7t and y = t – 6

A:

Q: Find the derivative of the function f(x) = – 2x1 + 5x – 7. A. -2x + 5 C. -2x? + 5 E. None of these…

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Q: Determine the second derivative of 6 y – xy²= 1 -

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Q: Examine the change of the function and draw its graph: 2x-1 y =

A: Given: The function in x is given,           y=2x-1x3ex-1x Objective is to find the change of…

Q: 1. f(x) = 4x - 17

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: If f(x) = v4x + 1 find f"(2). %3D

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: -1 sedx- cos(

A:

Q: 6. y = v4 V1 – 2v3

A: Solution is given as below:

Q: C. Apply the chain rule to find the derivative 1. y = (8 - 3x )3 3. y = (1-x)7 2. y = V2x + 1

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Q: (b). Find the second derivative. y=x²-5vx

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Q: f f(x) = 3xm(=), find f'(8). %3D

A: Given query is to find the derivative.