Use the figure below to estimate the indicated derivatives, or state that they do not exist. If a derivative does not exist, enter dne in the answer blank. The graph of f(x) is black and has a sharp corner at z = 2. The graph of g(x) is blue. Let h(x) = f(x) · g(x). Find

Q: Find the derivative function ƒ′ for the following functions ƒ.b. Find an equation of the line…

A: For   y = f(x) At  point (x1, y1) equation of the line tangent =>  (y - y1) = m(x - x1) m = slope…

Q: 1. Determine the derivative for y = | a. d. 中正中正 中正中正

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Q: Find the derivative of the following function. y (In ]x + 4|)7 dy

A: Differentiate w.r.t to x

Q: Find derivatives of the functions defined as follows: y = 73x+1

A: y=73x+1ory=73x·7ory=7·73x Use formula of derivative ddxax=axln a

Q: Consider the second derivative graph, y = f"(x), %3D given below. Which of the following statements…

A: Graph f''(x) is given, we have to find the concavity if the graph f(x).

Q: Find derivatives of the function defined as follows. y = 1.2e5x

A: Given: y = 1.2e5x

Q: Find derivatives of the function defined as follows.

A: A function is a relation between an input variable and an output variable wherein each input…

Q: Y = c 2.

A: The product rule of differentiation is given by the following expression:- ddx(uv)=udvdx+vdudx The…

Q: Find derivatives of the functions defined as follows:

A: Given: fx=ex3x+2

Q: Let h(x)=f(x)*g(x), and k(x)=f(x)/g(x). Use the figures below to find the exact values of the…

A: Given To find h'(0) and k'(-2)

Q: - 17x Find the derivative of y with respect to x if y = e 口

A:

Q: Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not…

A:

Q: Find the derivative d/dx of the following x² +1 x + 1

A:

Q: Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not…

A:

Q: Find the derivative. y = In(t5t)

A: Consider the given equation y=lnt5t and simplify it. Use the logarithmic properties to simplify it.…

Q: Find derivatives of the function defined as follows. y = 5e-4x

A:

Q: Use the rules for derivatives to find the derivative of function defined as follows. g(z) = log2(z3…

A: The first derivative of ln(x)=1x. The function loga(x) can be written as ln xln a hence its first…

Q: Find derivatives of the functions defined as follows: y =(3x3 - 4x)e-5x

A: Given:          y=3x3-4xe-5x Let:  y=f(x)=3x3-4xe-5x Product rule of differentiation is given by…

Q: Use the alternative form of the derivative to find the derivative at x = c, if it exists. g(x) = 2x2…

A: Given function is gx=2x2-3x. We know that, f'x=limx→cfx-fcx-c Using the above formula of derivative,…

Q: Find derivatives of the function defined as follows.

A: Consider the given function as y=ex+e-xx

Q: Find derivatives of the functions defined as follows: y = (x + 3)2e4x

A: Chain Rule of differentiation: ddxf(g(x))=f'(g(x))g'(x) Product Rule of differentiation:…

Q: Use the figure below to estimate the indicated derivatives, or state that they do not exist. The…

A:

Q: Use the alternative form of the derivative to find the derivative at x = c, if it exists .

A:

Q: What is the Derivative of the following function; y = e-xsinh x

A: Our Aim is to find the derivative of y=e-x sinh(x)-(i)

Q: Find the derivative of the function g(t) = (e−t + et)3

A:

Q: Find the value of the derivative (If it exists) at the Indicated extremum. (If an answer does not…

A:

Q: -1 y = cos –6•x³ - 6·x³

A: Given function is: y=cos-1-6x3 Then we get, cos y=-6x3

Q: If f and g are the functions whose graphs are shown, let  u(x) = f(g(x)),   v(x) = g(f(x)), and…

A: The given graphs of f and g are

Q: Find the derivatives of the function defined as follows.

A:

Q: 2x+5 e. y = 3x-2 f. y = (2x? + 2)(x² + 3)

A: Derivative of the function y=f(x) is the measure of rate of change of y with respect to x.…

Q: Find derivatives of the functions defined as follows: y = -16e2x+1

A: Derivative of eax  is aeax  So,

Q: The first derivative of a continuous function y=f(x) is given, find y’’ and then sketch the general…

A: Our objective is to find y'', and then sketch the general shape of the graph of  f.

Q: Find the derivative of y with respect to x in the following functions: y= Ju +2u and u x2-3

A:

Q: Find the derivative of y with respect to x in the following functions: y= Vu +2u and u=x²-3

A: Derivative of  function signifies the rate of change of a function.

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

A:

Q: Use the figure below to estimate the derivative, or state that it does not exist. The graph of f(x)…

A: Given problem is :

Q: Find the derivatives of the functions p = √3 - t

A:

Q: Find the derivative of the following functions at a given point x= a (g) f(x)=- a=4.

A:

Q: Use the alternative form of the derivative to find the derivative at x = c, if it exists. g(x) = x2…

A: Solution:-  The given function is  g(x)=x2-xwe have to use alternative form of derivative to find…

Q: Find the Derivative Function for the following function, y=cos(x)-3x

A:

Q: Let f(x) = 3x² + 2x − 10; a = 1. 1. Use the definition to find the derivative function f' 2. Find an…

A: The given function is: f(x)=3x2+2x-10

Q: Find the derivatives of the following functions with respect to x  x=tan (e-y)

A:

Q: Find derivatives of the functions defined as follows: . y = 1.2e5x

A: the given function is: y=1.2e5x we have to find the derivative of the given function.

Q: f(x) = e²x cos(x)

A:

Q: Find derivatives of the functions defined as follows: y = e4x

A: The derivative of function to be found out is y=e4x

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

A:

Q: Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not…

A:

Q: Find derivatives of the functions defined as follows:

A: Our Aim is to find the derivative of the function given below:-y=t2 e2ttt+e3t-(i)

Q: Find derivatives of the functions defined as follows: y = -4e-0.3x

A: Our Aim is to find the derivative of the function given below:-y=-4e-0.3x -(i)

Q: Find the derivative or f'(x) for the following: dx y= x²- 3x + 4 2х-5 (x) = 3x+2

A: