8.2 Differentiate the function G(s) 3es + s Answer G'(s) =

Q: Suppose (1,1) is a critical point of a function f with continuous second derivatives and fz = 44,…

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Q: 9.6 function by Using TMR enoits aut Graph Following J- Co (x+2)

A: Given: y=cosx+90° To find: Graphical representation.

Q: 19/9 10/9 Find any critical numbers for the function f(x) =x' whether the critical numbers lead to…

A: We need to find critical points.

Q: 8. Suppose the derivative of the function y = f(x) is y' = (x – 1)*(x – 2)(x – 4). At what points,…

A:

Q: Suppose that the FIRST DERIVATIVE of a function f is given by f' (x) = (x – 3)² (z² + 5x). Find the…

A: We find the critical numbers by solving f'(x)=0

Q: 2. Find the local maximum and minimum values and saddle points (if any) of the function f(x, y) = xy…

A: Here, the given function is: f(x,y)=xy-2x-2y-x2-y2

Q: 4. The process of finding a general formula for the slope of a line tangent to a certain curve is…

A:

Q: 2. Calculate the first derivative of f using the forward and backward difference approach in the…

A: The objective is to calculate the first derivative of f using the forward and backward difference…

Q: In x se the second derivative test to find the local extrema for the function f (x) = x3 •

A:

Q: Suppose that the differentiable function y = ƒ(x) has an inverse and that the graph of ƒ passes…

A: Given,

Q: imagine the profit of producing q units of a product is: p(q) = 397 - 2.3q^2 - 400 - use…

A:

Q: Let f(x)=x² – 3x'. For what value(s) of x in [–1, 1] is the slope of the line tangent to the graph…

A:

Q: Consider a function y =f(t) with domain (0. 1, 4. 2). Use the graph of the derivative function,…

A:

Q: 5) Find the second derivative of f (x) = %3D ex plify your answer as much as possible

A: fx=1-2xexTo find the second derivative

Q: 2. Find the extrema of the function g(x) = x3 using any of the methods given in the above…

A:

Q: 3. Let f(x) =x In(x – 3)+5. Find the equation of the line tangent to the graph of f at the point…

A: Given thatf(x)=xln(x2-3)+5f'(x)=ddxxln(x2-3)+5         =xddxln(x2-3)+ln(x2-3)ddx(x)+ddx(5)…

Q: Differentiate y - V3x² – 4 using the Chain Rule. 6. What is the outer function of the given problem?…

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Q: 4. Find the second derivative for the following functions: a) (ans.:6x +

A: Derivatives

Q: 55. By normalizing the function f(x)==-defined in the domain [0, 2], we will get as a result the…

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Q: OFind the derivative of the 1 +5 (a). f(z) = %3D T2-5

A: As per the guidelines we can solve only one question at a time so if you need more answers then…

Q: 1. Use forward, backward and central difference to estimate the first and second derivative of f (x)…

A: Given function is fx=coshx and x=2 Step size h=0.01 We have to estimate the first and second…

Q: question 31

A: Consider the given function.

Q: 4. Find and classify the critical points of the given function by using Second Derivatives Test. 1 1…

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Q: 2 Compute the derivative f'(x) of the logistic sigmoi 1 f (x) : 1+ exp(-x)

A: We have to find

Q: 4. Find the second derivative of each of the following and determine based on your results if the…

A:

Q: Can you help me step by step with this problem?

A: Given,

Q: Find the linearizationsof the following functions at x = 0. ln (1 + x)

A:

Q: 4. Find all derivatives of f(x) = x*, where k is some unknown natural number.

A: f(x) = xk and we need to find all the derivatives of f(x)

Q: 3. Find the first derivative of the function f(x)= 2x3-4x+1 using forward Difference formula if, X1…

A: Solution:

Q: 24. Estimate instantaneous rate of change of each function at the given x value using a centered…

A: Given :-  The instantaneous rate of change of each function at the given x value using a centred…

Q: Suppose the derivative of a function is x2 + 2x -3. a) On which open interval/s is the function…

A: Consider the given: Given:f'x=x2+2x-3 Find the critical numbers: Substitute…

Q: 5* The derivative of the function: f(x)= 5* + 7 7.5 In5 (5* – 7)2 7(5 In5) (5 + 7) 7(5*ln5) (5* +…

A: According to the problem, we have

Q: 4. The graph of the first derivative f'(x) of a functionf is shown below. At what values of x does f…

A: Given graph of f'(x) is The value of x where f'(x)=0 are called as critical values where extrema…

Q: Based on a study, the Lorenz curves for the distribution of incomes for bankers and actuaries are…

A: Given: Lorenz curve for the distribution of incomes for bankers, fx=110x+910x3. Lorenz curve for…

Q: 5) Use the tangent line at x = 9 to approximate the value of the function f(x)= Vx at x= 8.8.

A:

Q: 6. Find f(x) if f(1) = 1 and the tangent line at (x, f(x)) has slope f(x)

A: Slope of tangent is obtained by derivative of the function f(x).

Q: What is the first derivative of s(x)=(7x)3x at x=4? Select the correct answer below:…

A: As s(x)=(7x)3x The function can be rewritten as:s(x)=x3x. 73xIts first derivative is given by the…

Q: ose k is the derivative of K, a function with the same domain as k. inction K has one critical point…

A: According to answer policy we can answer one question at a time, therefore I will be answering first…

Q: Q.5 Show that both of the functions f(x)=(x-1)" and g(x)=x' – 3x +3x-2 have stationary points at x =…

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Q: 1) Find the derivative of the given function with respects to 0 y = 3lan In 3

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

Q: 1/3 Find the absolute extrema of the function f(x) = (x + 16) on the interval [-5,2]. Find the…

A: To find: Absolute extremum of the given function.

Q: 1.) Find the area under the curve y = x3 + 3x2 and the axis between x = 1 and x = 3.

A:

Q: 5, i, Evaluate the first and second derivatives of the function z=2x4+3x3+2x-5 when x = 4. ii, Find…

A: The objective of the question is evaluate area and find derivatives of given functions.

Q: 5)Let f ( x ) =3x4 + 4x3 Find the derivative. b)Find the critical numbers.

A: Given problem:- 5)Let f ( x ) =3x4 + 4x3   a) Find the derivative.   b) Find the critical numbers.

Q: * The tangent line to y = f(x) at (-4, 10) passes through the point (-5,-10). Compute the following.…

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Q: Зх +1 a) y =- 1 b) g(x)= Jx -

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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…