The derivative of a function is f'(x) x(x + 2)(x - 4). Find the value of x at each point %3D where f(x) has a: a. local maximum a. b. local minimum b. c. point of inflection C.

Q: Find the value of the derivative (if it exists) at each indicated extremum

A: Given: The function is  fx=-3xx+1 And the extremum of the function is point -23, 233

Q: 2 a) For the function f(x) = X-3 , find f'(1) by using the definition of derivative.

A:

Q: Evaluate the derivative of the given function for the given value of x. Y = 2x-3 / 4x+5   x = 1…

A:

Q: Find the first order derivative with respect to y of the function u = log(x + x² – y2)

A: Using derivatives.

Q: (a) Find the average rate of change of f(x) from x = 1 to x = 2. 7 (b) Using the definition of the…

A:

Q: (x-y) atfy (1, 1) a+y

A:

Q: A) Find an equation of the line tangent to the function of x + (y-x)' D9 atx 1. B) Using the…

A: Part A,Given,          The function is x2+y-x2=9 at x=1.

Q: Find the derivative of the function below. F(x) = arctan e a*) f'(x) =

A:

Q: eリ- + 2y eTy x° +

A:

Q: Find the derivative of the function.

A: We have a nested form of functions . We have to use chain rule of differentiation to find the…

Q: find the derivative of y with respect to the appropriatevariable. y = √(s2 - 1) - sec-1 s

A:

Q: Find the derivative of the function by the limit process. h(s) = −2 (square root of x)

A:

Q: find the derivative of y with respect to the appropriatevariable. y = cos-1 (1/x)

A: To find dydx, rewrite the equation and then differentiate with respect to x.…

Q: Find the derivative of the function. 3x2 g(x) • dt 4 + t3 tan x g'(x) =

A:

Q: Find the derivative of the function. (x) = In(4 – x®) r"(x) =

A: We have to find

Q: Consider the derivative function h (x) = 5x³ + 3x² – 4x + 4. What is the general antiderivative of…

A:

Q: A) Consider the function f(x) whose second derivative is f"(x)=4x+3sin(x). If f(0)=4 and f'(0)=4,…

A:

Q: Find the value of the derivative (if it exists) at each indicated extremum.       f(x) = −3x√(x + 1)

A:

Q: Consider the derivative function h (x) = -sec? (x) + 9. What is the general antiderivative of h?

A:

Q: For a given equation, f(x) = xe* Compute the derivative at x = 2 using forward, backward and…

A: Given the function fx=xex.   The forward difference formula is given by f'a=fa+h-fah. The backward…

Q: Determine the 3rd derivative of the function y=x3/x+2 at x=−1.

A:

Q: Find the derivative of the function. h(x) = x² arctan(8x) %3D

A: To find the derivative of hx=x2tan-18x

Q: Compute the derivative function f'(x) algebraically. f(x) = 8x – 5 %3D f'(x) =

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

Q: Find the derivative of the function. • 2x2 g(x) = 1 dt 3 + t3 /tan x g'(x) =

A:

Q: Compute the derivative: x4 – 4 d - at x = 2 dx x2 – 5 - The derivative is:

A:

Q: Find the derivatives from the left and from the right at x = 1 (if they exist). Is the function…

A:

Q: Find the derivative of the function by the limit process. f(x) = 3x- 1 - (x), J

A: fx=3x-1

Q: Find the derivatives from the left and from the right at x = 1 (if they exist). Is the function…

A: Given: f(x)=(1-x2) Find the derivative of given function from the left and from the right at x = 1…

Q: Find the 10th-order derivative of the function y=(x2+4x+1)√ex at the point x=0.

A:

Q: The derivative f'(a) represents the instantaneous rate of change of y = f (x) with respect to x when…

A: Given that we need to check  behaviour of  the statement " The derivative f'(a) represents the…

Q: Find the derivative of the function f(x) = V (x² – 2)* at x = 1.

A: Given f(x)=(x2-2)23      ⇒f(x)=x2-2213⇒f(x)=x2-223

Q: 4. F(x) = (1-t) dt

A: To find the first derivative

Q: Find the derivative of the function. 4 f(x) x In(x) f'(x) %D

A:

Q: The derivative of xª at x = e is equal to .Soloot ono

A:

Q: 2. If f (x) = xV x + 3, find the derivative of this function and the slope of the tangent line at…

A: Product rule of differentiation: (fg)'=fg'+gf' The slope of a tangent line at (a,b) is given by:…

Q: Find the function with the derivative f'(x) 3x = e whose graph passes through the point P| 0,

A:

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

A:

Q: How do you solve question 10?

A: Given function is  By definition of derivative , we have

Q: If f(x,y) is a real valued function of two variables then what is the second derivative of f?

A:

Q: Find the particular antiderivative of the derivative f'(x) = 3 -+x that satisfies the condition f…

A: Follow the procedure given below.

Q: The derivative of y=eSinh/x +cosh¬/x equals

A:

Q: The derivative of x at X = 1 is to I Frue or false 2

A:

Q: find the derivative of y with respect to x, t, or θ, as appropriate.

A: On simplification, we get

Q: (4)The instantaneous rate of change of f(r) = e- at a = 1 is . .. (5) The derivative of f(x) = sec2…

A: (4) We have So we get the instantaneous rate of change of the function at  as .

Q: Find the derivative of the function y, below. y = 2x(ln x + In 7) – 2x + V2 dy da

A:

Q: Suppose the derivative of the function y = f(x) is y' = (x-9)2(x+6). At what points, if any, does…

A:

Q: The total derivative of the function f(x, y) =3x'y- xy is

A: Find the total derivative

Q: The graph of a function is shown together with the tangent line at a point P. y 5 4 3 2 1 2 3 4 6. 7…

A: topic- tangent

Q: find a linearization at a suitably chosen integer neara at which the given function and its…

A: Given: fx=xx+1 We want to find a linearization at a suitably chosen integer near a at which the…

Q: Determine the value of the derivative function for Ax) = (x + x)(x- 2) at x = 2. %3D A 6 в О с 5 D1

A: