Q1. If g(4) = -9 for a function g(x), what can you say about g¬'(-9) ?

Q: how do you indicate the derivative with any method: g(t) = 3/t^5; estimate g'(1)

A: Write g(t) using negative exponents to get rid of the fraction. Then use exponent rule.…

Q: Q3\ Find the derivative of the following function by using the definition f(x) = x-1

A: Given function is fx=xx-1

Q: Q-1- Find the derivatives of the functionS 1- Y+In (xy) = |

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Q: Q1) The dervative of the function f(x)= |x+2, using the definition of derivative is 1 b)- a) x+2 x+2

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Q: Suppose that your friend, who is concerned that you are 100 pounds overweight, has studiedthe diet…

A: The given function shows the weight Wt=300-15 lnt+1 Find the derivative of weight function:…

Q: Suppose s (x)= - 2(1– 5x)3 What is the correct result of the derivative of g with respect to x? 45 A…

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Q: 2. Next we plotted the slopes of g(x) = x2 and h(x) = x³. What was g'(x)? What was h'(x)? h'(x)= 3x…

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other…

Q: 4x - 4 if x > 2 Suppose f(x) = Find f'(2) using the definition of derivatives. if x < 2

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Q: 18 The derivative of the function f(x) = x² + is 18 4x3 + (æ³) 18 O 4x³ - (æ²) 18 4x° + (x) 4x + 18…

A: d/dx(xn)=nxn-1 Given f(x)=x4+18/x  To find the derivative of f(x) differentiate once

Q: 4) Calculate the first derivative of the following functions: 1. f(x) = In 2x2+1° 2. f(x) =…

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Q: find the derivative of the given function y - x2-1     f'(2)

A: Given function is y=x2-1. To find the derivative of the function f'2. Solution: Power rule of…

Q: what is the derivative of y=e^-1/2x(C1cos3x+C2sin3x) and evaluate if x=0, y'=8

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Q: - Find the derivative o y with respect to n ort. 4 4 16

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Q: Find derivatives of the function defined as follows. y = e-8x

A: We have to find derivatives of the function: y=e-8x We know the formula of derivatives,…

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: Q3\ Find the derivative of the following function by using the definition f(x) = X-1

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Q: Find the derivative of the following function using the limiting process. f(x) = 1/x2

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Q: a) Find the derivative of g(x) = 3tanx – 4cotx. %3D b) What is the value of g 3.

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Q: Let f(x) = (x² + 3x)e*. Determine the value of the third derivative of f(x) for x = 0.

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Q: 10. Find a function y = ax +bx+c whose graph has an x-intercept of 1, a y-intercept of -2, and a…

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

Q: 5 .Let f(x) =x² -e*. Find the value of x for which the second derivative s"»equals zero. 2

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Q: Find the indicated derivative for the function. h"(x) for h(x) = 2x "5 – 6x -8 h"(x) =

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Q: Find the derivative of the function.

A: hs=-25s2+3

Q: am having trouble finding the equation of the line tangent to the graph of f at (1,1), where f is…

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Q: g. f(x)=(1–3x)°(x²-2)°

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

Q: what is the derivative of the following function; y = x 2e -3x

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Q: 2 For what values of x does the graph of f(x) = 2x° + 3x – 180x – 1 have a horizontal tangent line?

A: First we find the derivative of f(x), the slope of f(x) for horizontal tangent is 0 and the…

Q: Find the anti-derivative of the function and evaluate. g(x)=2x g(0)=7

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Q: Find the derivative of function defined as follows. h(x) = (x2 - 1)3

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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: For what values of x is the derivative of the function 2x - 3x equal to 14?

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 3 Suppose 8 (x): 2(1- 5x)3 .What is the correct result of the derivative of g with respect to x? 45…

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Q: 16. Find the derivative of the following function. 6x f(x) = 5e 7x f'(x) =

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Q: If g(3) = −2 and g'(3) = 15, the compute the derivative of g−1(x) at x = −2

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Q: 11 8 Find the derivative of the function: y = 3(x – 4)' x-4

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Q: Q1) The dervative of the function f(x)= |x+2 using the definition of derivative is

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Q: What is the first derivative with respect to x of the function g(x) = 3/9x O 1/2 9.

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Q: Find the derivative of the function. G(x) = V1- 9x2 · arccos(3x) G'(x) =

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Q: 1 4. Use the definition of the derivative to compute f'(x) given f(x) = 2x 3

A: Given,          The function is fx=12x-3 .

Q: Q2: A) Find an equation of the line tangent to the function of x2 + (y- x)² = 9 at x = 1. dy if y =…

A: Derivative of function

Q: 15) Determine the 3rd derivative of the function f(x) = 2\x-x³ [T:2]

A: topic - derivatives

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: Find derivatives of the functions defined as follows: y = e-2x

A: The derivative of the function ex is ddxex=ex. Find the derivative of the function y=e-2x using…

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

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Q: 10 The derivative of the function f(x) = x7 + - 10 726 + (r³) 10 71° + (2) 1 10 7x + 10 10 726 (z²)…

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Q: Find the derivative of the function g(x) et 2 + 3x g'(x) =

A: Given: gx=ex2+3x

Q: 2 Find the derivative of the following function f(x)=2x-10x -8 using the limiting process a.…

A: The function is given by f(x) = 2x2-10x - 8 To evaluate : The derivative of the function using…

Q: Monday, 1) Find the derivative of the given function with respects to e y = 3lan® In 3

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