d 1 (a) / (₁2²+ = + 2²/² +6² +5) X dx d ex (b) (x³ sin(z) +2+1) dx d (ln(tan-¹(x))) dx (c)

Q: What is the derivative of p(aE - bE2)?

A:

Q: In y - Р(у) - %3D ey

A: We will use division rule and standard formulas to find required derivatives

Q: Find the derivatives of the functions in Exercise

A: Given: r=21θ+θ We know that ddxxn=nxn-1                                                        ..1

Q: Find the derivatives of the functions

A:

Q: decide the derivative of asin(bx),step by step.

A: Given function

Q: Find all derivatives of the function y=1/2x−3.

A:

Q: Graph the derivative of the function in Figure, omitting points where the derivative is not defined.

A: Consider the function: y=12x2

Q: Find the derivatives of the functions in Exercise

A: The given function is u=5x+12x.

Q: -1 4.. у %3D 2а3 sinh "(6ӕ — 5) 2х-3 coth (x + 2) -1 5. у - 3 6x

A:

Q: х3 — 7 4.) у %3 7 - х' ,3 X y' =

A: Given function, y=x3-77-x3

Q: Find the derivative of function.

A: We have given y=-2ln x3x-1. Differentiate both sides with respect to x. Use constant multiple rule…

Q: 2. Which of the following represents the derivative of the function: (1 Point) 2ty %3D

A:

Q: Use differentials to give an informal justification for the chain rules for derivatives.

A: Consider the given statement. The chain rule of derivatives is defined as. dydx=dydududx Let's take…

Q: dy for the given value of x. dx In each of the following, find the value of x? +x-1 y = y = (3 –…

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Q: In (1 + 2), What is the derivative of y .? e2z %3D

A:

Q: 3x? – 5y6 = 2x 1.

A: To determine the derivative of the given implicit function.3x2-5y6=2x

Q: Calculate the derivative of the following function. y (3x-14) dy xp %3D

A: We have to find derivative

Q: a. (x³ + 3x + 2)² + 1 b. (In(x²+4)- 1)³ C. (x + 1)4 d. 5 (*)³

A:

Q: Calculate the derivative of the following function. y = (3x+ 4) dx

A: y = (3x+4)3  we use chain rule to solve the problem