72. Write a rule for finding the derivative of f(x) · g(x) • h(x). Describe the rule in as few words as possible.

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

A: First we have to find f'(x) . And to find extrema by first derivative test we have to find all roots…

Q: Q3/ Use the definition of derivative to find f'(x) where fx=- 3 X+1

A:

Q: 3 Find the derivative of f(x) = x°e*.

A:

Q: 250 4. Use second derivative test to determine the relative extrema of the function: f(x) = x2 +

A:

Q: What is the derivative of h(x) = g(x) - f (x)?

A: What is the derivative of h(x) = g(x) - f (x)?

Q: Find the derivative of the function f(x) = In(2a? + 5æ)

A: ddxln (x)=1xddxxn= n xn-1

Q: se the definition of a derivative to find f '(x) and f"(x). f(x) = 3x² + 6x + 3

A: Given,           fx=3x2+6x+3

Q: 9. Use the definition of derivative to find the derivative of f(x) = x² – 3x.

A: We need to evaluate the derivative of the function f(x) using definition of the following function…

Q: Use the following definition of derivative as a function f\x+h}-f(x) f\x)=lim h h --0 To find the…

A: A function is: a relation from a set of inputs to a set of possible outputs where each input is…

Q: Q1: Use the definition of derivative to find the derivative of x2 + x.

A: In this question we have to find the derivative using the definition of the derivative.

Q: Use the Quotient Rule to find the derivative of the function.                           h(x) =…

A:

Q: Find the derivative of the function. g(x) + g'(x) = + 3.

A:

Q: Use the Quotient Rule to find the derivative of the function. f'(x) = f(x) x X-5

A:

Q: Use derivative rules to find the derivative of h(x) = 3f(x) – 29(x) – x² f (x) + g(z)

A:

Q: 9 8 Find the derivative of f (x) = 2a4 + x2

A:

Q: 16) Find f'(x) using the definition of the derivative. f(x) = x3 + x

A:

Q: Use the Quotient Rule to find the derivative of the function. h(x) =  x2 x + 7 h'(x) =

A: Consider the provided function:

Q: 22. Find the derivative of the function using shortcut rules. Simplify for extra credit. - 6x+7) 5…

A: →Whenever we have algebric function of higher order in numerator and denominator,     then take…

Q: What rule should be used in getting the derivative of a.)  f(x) = x^5 b.) h(x) = 3(x + 4)^3 c.)…

A: a. fx=x5 The rule used to get the derivative of given function is, ddxxn=nxn-1 The derivative is,…

Q: Can you help me step by step?

A: The given function is,

Q: 3a. Use the limit definition of derivative to calculate f'(x) where. f(x)= 2x2 +x-1.

A:

Q: Find the derivative of : g(x) = x'n(x)

A: take log function both side then differentiate with respect to x

Q: State the derivative. Do not simplify. f(x) = e² - 22

A:

Q: What is the derivative of f(x)= f(x)=(x^5-x^3-x)/x^3

A: f(x)=x5-x3-xx3   To find: f'(x)

Q: 17 Use the definition of derivative to evaluate the derivative of f(x) = 2x2 − 4

A:

Q: 3 Use the definition of derivative to find f'(x) for f(x): II

A: Given:

Q: Use the first derivative test and the second derivative test to determine where each function is…

A:

Q: 16. Use the limit definition of the derivative to find the instantaneous rate of change for the…

A:

Q: a) Using definition, compute the derivative function of f (x) = 4x7

A: Here, we will find derivative of given function by definition of derivative,

Q: Suppose 8 (x) =sec='(x<). what is the derivative of g with respect to x?

A: We can find the answer as below.

Q: Find the derivative of g(x) = x'n(x)

A: Given:           g(x)=xln(x)

Q: 3. Find the derivative of f(x) = 5x - 7 using the formula h f(x+h)-f(x) h

A:

Q: Find the derivative of the algebraic function.

A:

Q: Explain the steps you would take to find the derivative of f(x) = (-)e -3x+tan(3x-5)

A: Given: f(x)=12e-3x2+tan(3x-5)

Q: Q3: Using the definition of the derivative to find the derivative of the function y =

A:

Q: Use the Quotient Rule to find the derivative of the function. x2 h(x) %D x + 4 h'(x) =

A:

Q: 8. Find the derivative of the function fx) = x? - 10x + 3 using First Principles.

A:

Q: Find the derivative of the function. f(x) = In x+ 2 f'(x) =

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

Q: 3. Use the limit definition of the derivative to find the derivative of the function. a) f(x) = 2x²…

A: Given query is to find the derivative using definitely.

Q: 1 Use the definition of derivative to find the derivative of the function f()

A: Solution:

Q: . What process can you use to find the derivative of f(x) g(x) ? Illustrate by showing how to take…

A: We have to find

Q: Q1) The dervative of the function f(x)= |x+2 using the definition of derivative is

A:

Q: 12. Find f'(x) using the definition of the derivative.  f(x) = x3+ x

A:

Q: 7. Determine the derivative of the function with respect to x. ソミx

A:

Q: 1. Use the definition of derivative to find the derivative of (a) f(x) = (x + 1)² 1 (b) f(x) =…

A: The solution are next step

Q: 9. Use the definition of a derivative change of the functions below at f(x)% = x² + 2x

A:

Q: Assuming g is a differentiable function, find an expression for the derivative of f(x)=(x^2) (g(x)).

A: Assuming g is a differentiable function, find an expression for the derivative of f(x)=(x2) (g(x))

Q: Use first principles definition of the derivative to find f'(x) for the function 3 f(x)= x-2 =

A:

Q: Use the first derivative test to determine the relative extreme values of the function. below. a.…

A: local minima or relative minima is a point on the x-axis at which function has the lowest output…

Q: #12: use the definition of the derivative to calculate the derivative of f(x)=9x^2

A: Definition of derivative for a function f(x) is given by f'(x)=limh→0fx+h-fxh