x²+3 f(x) = f'(-1) 4-x2

Q: Find the indicated derivative with respect to x

A: Given :                                                f(x) = 34xfind ddx and d2dx2

Q: Find the derivative of the function f(x) = 24x arccos(4x) – 6/1 – 16x? f'(x) =

A: To find the derivative of the function

Q: Use the General Power Rule where appropriate to find the derivative of the following functions.

A: We have to find the derivative of the function: y=lnx3+1π We know that lnam=m lna Therefore given…

Q: Find the derivative of the function. f(x) = ln 3x

A:

Q: Compute the derivative of the following function. f(x) = 3x + 5x ex f'(x) = [ O

A:

Q: Use the rules for derivatives to find the derivative of function defined as follows. ƒ(x) = e2x…

A: We have to find the derivative of the function: fx=e2xlnxex+1 We know the rule and formula of…

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

A:

Q: Determine the derivative of the following function by applying the quotient rule.…

A: The given function is: h(x)=ln (x2+x)x2+1 The quotient rule for the derivative is given by:…

Q: Find the derivative of the following function using the rules of differentiation: g(x) 3xv1+ x?

A:

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

A:

Q: For the given function f(x), determine the equation of the tangent line at the point P(1,1) f(x) =…

A: Equation of tangent line

Q: 2x+4 f(x) = (3x + 7) e.

A: Given query is to find the derivative of f(x).

Q: 4. g(x) = x° · sin(x)

A: The given function is gx=x3·sinx

Q: Find the second derivative for the functions defined as follows .p(x) = sin(x2)

A: We have to find second derivative of the function: px=sinx2 We know the formula of differentiation,…

Q: What is the derivative of the function with respect to x of (x + 1)³ – æ° -

A: Given : Function x+13 - x3   To find : Derivative of the given function with respect to x?

Q: For what values of x is the derivative of the function Vx2+ Vx equal to 1?

A: Given,           The derivative of x23+x3 equal to 1.

Q: Find the derivative of the following function with respect to x x = sinh2y

A:

Q: Find the derivative of the following function.: y=ln(x2+4)2π

A: The given function is,

Q: compute a formula for the nth derivative of f(x)=e2x

A: We have givenWe have to find a formula for nth derivative of f(x)

Q: 1. x + y + xy = 21

A: We will use simple differentiation rules to solve this question.

Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). h(x)=…

A:

Q: Find the derivative of the following function. y= 4 ln x – In(x-8)

A: we have to derivative

Q: f(x) = 2 tan-(x) – 4"

A: Please refer the attached image for complete solution.

Q: Find the derivative of the following function by first expanding or simplifying the expression. f(x)…

A:

Q: For what values of x is the derivative of x equal to the derivative of x2 + x?

A:

Q: Find the derivative of the following function at the indicated point from the graph of y=​f(x)…

A: Find the derivative at the given point

Q: Compute for the derivative of the function below for x = 1. f(x) = 2xe

A: Solution: dydxx=1=2xex

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

A:

Q: For ƒ(x) = ax, find ƒ″(x) and ƒ‴(x). What is the nth derivative of ƒ with respect to x?

A: Since, we have been given that f(x)=ax-(i).Our Aim is to find f"(x) and f'''(x).Also, we have to…

Q: Use the Chain Rule combined with other differentiation rules to find the derivative of the following…

A: Given: y=xx+15 To Find: The derivative of the given function

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

A:

Q: Find the derivative of the following function, 1 f(x) = e* + In(x). x² -

A:

Q: Find the derivative of the following function. x* +7 h(x) = 2x -7 h'(x) =

A: We differentiate  the above function.

Q: I. Find the derivative of the following functions. 5. f(x) = 5* x5

A:

Q: I need the third derivative for all of the following functions: f(x)= + 1 + x

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Determine the derivative of the following implicit function on a separate sheet of paper, assuming…

A: find out the derivative of the function.

Q: Find the derivative of the function. G(x) = V1 - 9x² arccos(3x) G'(x) -

A:

Q: Find the derivative with respect to x: y = x3- 3*

A: The given function is: y=x3.3xWe need to find the derivative of y with respect x.Recall the…

Q: The 60th derivative of x with respect to y of y = x^60 is 60!x

A:

Q: 10. G(x) 3ex -7 log, x - 2x %3D

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 the function. h(x) = ln(2x2 + 1)

A:

Q: Find the derivative respect to x of the following function and simplify f(x) = (x - 5)2 ln(4x+1)

A:

Q: x +2 f(x)= x - 3

A:

Q: Find the derivative of the following function. f(x) = ..... 3x e dx -X +2

A:

Q: Use the definition of a derivative to the derivative of the following functions. x + 3 h(x) = 2х -1

A:

Q: For the implicitly-defined function, calculate the derivative with respect to x. 3 2 Vx + s = - +…

A: Consider the provided question, We have to find ds/dx of the implicitly defined function,

Q: Compute the derivative of the following function. f(x) = 8x + 15x eX f'(x) = ]

A: Here , we will differentiate  f(x) with respect to X.    Here we will use the formula,        d/dx (…

Q: Find the derivative of the following function, where x is already declared as a symbolic variable: f…

A: We have to find the derivative of the given function…

Q: Find the first derivative of v with respect to x

A: Given,

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: