Given to the right is the graph of the derivative of a function, y= f'(x) f'(x). If AO) = 9, what is the value of (2)? А. 11 + 2л В. -7 + 4л 2+ C. -7 +a I+ D. 3+ 4n -3 4 E. 11 + * -2+

Q: If ƒ(x) = x^n, n>=1, show from the definition of the derivative that ƒ′(0) = 0.

A: Given,

Q: Find the second order derivative if  y = xx

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

A: Here the given function  hx=x+2, c=-2 The function can be written as hx=x+2,x≥-2-x-2,x≤-2

Q: Find the derivative of function.

A: The given function is f(x) = ln(xex+2).We have to find the derivative of this function with respect…

Q: Find the derivatives of the functions in Exercis y = xe-x + ex3

A: y=xe-x+ex3

Q: what would be the output if the 2nd derivative is negative

A: We know that for a function y = f(x), the points of extremum are obtained if the first derivative of…

Q: 2. If the derivative of an accurately determined function is replaced with a finite difference, how…

A: Since you have asked multiple question, we will solve first one for you. If you want other question…

Q: In(x²) What is the derivative of

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Q: Find the derivative of excosh(x)

A: Topic:- Derivative

Q: When the graph of the derivative is positive then the graph of the antiderivative will be…

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Q: Compute backward difference approximations for the first derivative of the function, y =[ e'nxP, at…

A: We have to compute backward difference approximations for the first derivative of the function,…

Q: Obtain the second derivative of the function f(x) = 6 In(8x) – 3z4 and state the value of this…

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Q: If the sign of the first derivative function is positive, the main function f(x) is decreasing.

A: We have to tell If the sign of the first derivative function is positive , the main function f(x) is…

Q: 2 The derivative of (g(x))¯ is equal to (g '(x))¯. Select one: True False

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Q: What is the derivative of the function with respect to x of (x + 1)³ – æ° -

A: Given : Function x+13 - x3   To find : Derivative of the given function with respect to x?

Q: or x>0, determine the deriva

A: Consider the given function: Here the objective is to find the derivative of a given function using…

Q: find the derivative of y with respect to the givenindependent variable. y = 5√s

A: Given

Q: If C(x)=x' + x°, evaluate the fourth derivative at x = 2. %3D

A: To find the fourth derivative of the function: C(x)=x5+x-3 at x=2

Q: 4. Find the first order derivative with respe. to x of the function u = In/x2 + y2 + z2 %3!

A: The function is u=lnx2+y2+z2

Q: Compute backward difference approximations for the first derivative of the function, y = log(x? +…

A: Given is the function y=log(x2+1)2   .  It is needed to compute backward difference approximation…

Q: 2. Determine the true error and relative true error when approximating the derivative of f (x) = -x²…

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Q: Suppose that the second derivative of the function y = ƒ(x) is y′′ = (x + 1)(x - 2). For what…

A: For inflection point we must have y" = 0

Q: What is the value of the first order derivative of the closed function given as…

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Q: 4. Compute the second derivative with respect to x of 3x³ + 8 y : at x = 1.

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Q: With respect to x, what is the derivative of: * H5 du -3/5 Option4 Option 2 2/5 du -3/s du dx…

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Q: What role does the denominator of f'(x) play in finding the critical points (in other words, what do…

A: The given data is: f'x

Q: 2. Prove from the definition of derivative that for n EZ, d ng"-1 dr

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Q: What is the second derivative of f(x)=−x4? at the point x=−3 Do not include "f′′(x)=" in your…

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Q: Compute central difference approximations for the first derivative of the function, y =[ elnx)2 , at…

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Q: Find the equation of the tangent line to the function f(x) = x² – 2 at the point (1,-1). You must e…

A: Given, fx = x4 -2  We have to find the equation of the tangent line to function at the point 1, -1.

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: If fox) is odd function , then the derivative of y =coshf(-x)) equals

A: here option B is true

Q: Use forward-difference formula to evaluate the first derivative of y = tan(x) at x = 4 using a value…

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Q: 2. Find from first principle the derivative with respect to x of the function f(x)= Inx.

A:

Q: Compute forward difference approximations for the first derivative of the function, y = cos(sin(x)+…

A: Given is the function  y=cos(sin(x))+1) Forward difference is found as:F'xi=Fxi+1-FxiΔx

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

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Q: Find the derivative of y with respect to x for y=2x   ???

A: y=2x

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

A:

Q: gives a good approximation, where t is time in years since 2007. Find the derivative function R'(t).…

A: The model representing the given data is defined by the function Rt=0.25t2-t+29 gallons, where…

Q: If the average rate of change of q (x) in the period (5,7) is equal to 8 and y (5)*y (7) = 16 and f…

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Q: The value of the second derivative of at its point of inflection is A less than zero B equal to zero…

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Q: So far, you've examined the function y = In x and its derivative, y' = , for large values of x. Now,…

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Q: Obtain the derivative of the function y (ctg(5x))} y =- - sen? (5x) + 1

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Q: 9) Find the value of the derivative at the point x=2 if f (x) = xv2x – 7

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Q: Compute for the derivative of 3 y = х |

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Q: Suppose x and y are functions of third variable t. In the equation *-+) , what are the values of the…

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Q: Suppose that the second derivative of the function y = ƒ(x) is y'' = x2(x - 2)3(x + 3). For what…

A: Given that, y=f(x) Second Derivative is y'' = x2(x - 2)3(x + 3). As we know that, Inflection point…

Q: What is the derivative of y = log, sec(e²x) Dxy = 2 e² tan (²) Dxy = 2 (log, e) e²x sec(e) tan(e) D,…

A:

Exponential Growth Model

The relation that represents an exponential function is: