49. f(x) - xos x; a

Q: Derivative of (x-4)2. The exact process of how to get this derivative.

A: Use the chain rule and power rule of derivative.

Q: Derivatives Find the derivative of the following functions for the derivative of√ x

A: We first find g'(x) using the exponent rule

Q: SIUpe of the graph of the function at the given point. Use the derivative feature of a graphing…

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Q: Using the definition of the derivative, find f'(x). Then find f'(1), f'(2)., and f'(3) when the…

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Q: Graph of g' 11. The graph of g', the derivative of g, is shown above. Which of the following could…

A:

Q: Even and Odd Functions:-    Show that the derivative of an odd function is even. That is, if f ( -x)…

A: Query-  Show that the derivative of an odd function is even. That is, if f ( -x) = -f (x), then f'…

Q: f(g(x)) = (3x² f (g(x)) = (x)(x² +3)² (За* — 2х + 4)°

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Q: Derivative of y = |x| Graph the derivative of f(x) = |x|. Then graph y = (|x| – 0)/x - 0) = |x|/x.…

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Q: Derivatives by two different methods a. Use the Quotient Rule to find the derivative of the given…

A: (a) The Quotient Rule to find the derivative states that uv'=u'v-v'uv2.

Q: Derivatives Find and simplify the derivative of the followingfunctions

A: We need to find the derivative and simplify  the given function.

Q: An unknown function's derivative is h'(x) = 3x-2 - 6. Using your understanding of the derivative…

A:

Q: Graph of g' 1. The graph of g', the derivative of g, is shown above. Which of the following could be…

A: Given: Graph of g'

Q: Derivatives by two different methods a. Use the Quotient Rule to find the derivative of the given…

A: The given function is y=x2-2ax+a2x-a

Q: Find the derivative of the function. State which differentiation rule(s) you used to find the…

A: First write the expression with exponent (for the rational part)

Q: Finding higher-order derivatives Find the third derivative of the following functions.a. ƒ(x) = 3x3…

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Q: Find and simplify the derivative of the following functions

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Q: Derivatives of tower functions (or gh) Find the derivative ofeach function and evaluate the…

A: Let function hx=xx. Function can be written as y=xx. Taking log to both sides, we get…

Q: x*-y* 3) x²y³ = **-y+ ху

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Q: Using the definition of a derivative to find the derivative of each function: f(x)=1/(square root…

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Q: Finding derivative of the function f(x) = cx". a Derivative Explain how to find the

A: given,         fx=cxn

Q: Derivative of a tower function Evaluate the derivative of ƒ(x) = x2x.

A: Given function is fx=x2x. Simplify the above function. fx=x2x=e2xlnx    ax=exlna

Q: Derivatives Find and simplify the derivative of the followingfunctions. ƒ(x) = 3x4 (2x2 - 1)

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Q: Find the derivative of f(z)=3z^2-2z+4.

A: We have to find the derivative of  f(z)=3z2-2z+4

Q: Even and Odd Functions (a) Show that the derivative of an odd function is even. That is, if f(-x) =…

A: To show that the derivative of an odd function is even (i.e) If f(-x)=f(x), then f'(-x)=f'(x) By…

Q: 21-31 Find the derivative of the function using the definition of derivative. State the domain of…

A: The domain of the function f is, dom(f) = R, which is the set of all real numbers. And, the domain…

Q: Second Derivative Test 1. Find the first derivative of the function g(x) = 8x³ +84x² + 240x. g'(x) =…

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others parts…

Q: - 6x + 2 on the domain [-7,2]. Find the absolute extrema if they exist, as well as all values of x…

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Q: Find the relative extrema, if any, of the function. Use the Second Derivative Test if applicable.…

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Q: Derivatives of tower functions (or gh) Find the derivative ofeach function and evaluate the…

A: Solution:- The given tower function is g(x)=xlnx ; a=e

Q: Derivatives Find and simplify the derivative of the followingfunctions

A: Solution:- The given function is  h(x)=(x-1)(x3+x2+x+1)

Q: Derivatives of products and quotients Find the derivative ofthe following functions by first…

A: Given:                     g(x)=x2-1x-1   Solution:              Taking derivative using quotient…

Q: Examples: find the slope of the function's graph at the givenpoint. (use the definition of…

A: From the given problem:   y=x+1 and point x=1   Now using the expression of the derivative.…

Q: Derivatives Find the derivative of the following functions for the derivative of√ x. ƒ(x) = 10x4 -…

A: Given- fx=10x4-32x+e2  To find- The derivative of the following functions for the derivative of x.…

Q: 2.2 Can you show me the steps to solve this problem? Directions: Find the derivative of the function…

A: Use the definition of derivative to find the derivative of the function g(x).

Q: Critical Numbers for f(x) when a=0 Consider the case when a = 0 which gives us the function f(x) =…

A: Critical value of fx=x3 is x=0. Now derivative sign chart of fx=x3 is,

Q: Higher-order derivatives Find ƒ′(x), ƒ″(x), and ƒ‴(x) for thefollowing functions.

A: To find the higher order derivatives

Q: Derivatives of tower functions (or gh) Find the derivative ofeach function and evaluate the…

A: Given: f(x)=x2+1x; a=1 To find its derivative

Q: Even and Odd Functions…

A: If f is an odd function we get, f(-x) = -f(x) Then we get, f(x) = -f(-x) Taking derivative with…

Q: econd Derivative Test 1. Find the first derivative of the function g(x) = 8x³ + 84x? + 288x. g'(æ) =…

A: As per guideline we have to solve three subparts Repost other question again

Q: Derivatives of products and quotients Find the derivative ofthe following functions by first…

A: Given expression is fx=x+1x-1. We know that, a+ba-b=a2-b2 Using the above formula, given expression…

Q: Graph of g' 11. The graph of g', the derivative of g, is shown above. Which of the following could…

A: g'(x)=slope of the graph of g(x)g'(x)=d(g(x)dxif g'(x) is positive , g(x) is increasing.if g'(x) is…

Q: Tutorial Exercise Find the derivative of the function using the definition of derivative. State the…

A: We have to find derivative

Q: 10 points) Let f(x) = x² – 1. Find the equation of the line that is tangent to the graph of f t the…

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Q: Derivatives Find the derivative of the following functions for the derivative of√ x . ƒ(x) = 5x3

A: Derivatives Find the derivative of the following functions for the derivative of√ x. ƒ(x) = 5x3

Q: Derivatives Find and simplify the derivative of the followingfunctions

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Q: Computing a derivative Consider once again the function f(x) = -16x 2 + 96x

A: Computing a derivative Consider once again the function f(x) = -16x 2 + 96x

Q: X-1 For the function f(x)= find f"(x), the third derivative of f, and f)(x), the fourth derivative…

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Q: Derivatives of products and quotients Find the derivative ofthe following functions by first…

A: Derivative: h(x)=(x2+1)2ddx(uv)=udvdx+vdudx

Q: 19-29 Find the derivative of the function using the definition of derivative. State the domain of…

A: