Given fex) End (f-')'(5) 2X

Q: Get the derivative of all the functions. 1. ?(?) = 9?^5 + 2?^4 + 3?^3 + 7?^2 + 1 2. ?(?) = 5?^2−2…

A: To  find the derivative with respect to x

Q: tind he derivative OR the hunchon f by usine 2x-4つtu

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Q: Compute f and find an equation of the tangent line to the graph at x = a. f(x) 13x3, a 5 (Use…

A: Given function f(x):

Q: 3. tet-lu(t – 1) 4. t cosh 2t 5. (t – 2)²et-!u(t – 2) 6. te-'u(-t)

A: To find the Laplace transform of the given functions.

Q: How do you fin nd the derivative

A: We have been given a function and we need to find its derivative.

Q: Find the derivative of nln(cosu) . Where n=516

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Q: You have to find estimator by method of moments

A: We have to solve Problem (C)

Q: funchoN f whose second derivative is f ")= 5x+2sin(x If fo 3 and fro)= 3. what is fe?

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Q: Using Differentials, approximate (4499)2-(401)2 AM

A: To approximate: 4.9992-4.012 Let, z=fx,y=x2-y2x0=5, y0=4 For the function z=f(x, y) at the point…

Q: Prove: cosh 3x = 4cosh'x- 3 cosh x %3D

A: We will solve the following.

Q: Find the equation of the tangent line at (3, f (3)) when f (3) = 20 and f' (3) = 4. (Use symbolic…

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Q: /8.9

A: Given : 8.93

Q: 4 1 Y(s) = 5s2

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Q: sech (x*) tanhl 12.

A: 12. Given integral is ∫sech3(x13) tan h(x13) x23dx Let us make substitution to simplify the above…

Q: కషిద్టి చవీ / tangent s lope rosin (20) when Jot 5 2) 653 3. not of the above

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Q: (18) Find the derivative of the functio 2²+5 3 Y=2²-5 Nor me it to Vitou inst

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Q: Finel for r=1-Sino

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Q: 1-E-, find x, y from エ+y 4. 3 3.

A: given two matrices are equal. that means, Both matrices have same order, and the corresponding…

Q: Encuentre la antiderivada de la función f(x) = 1+3x.

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Q: 21. using the substitution x = cost, evaluate Ji = dx

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Q: et + 6x Compute the derivative of -3 -2x (simplification not necessary)

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Q: tion of the differe = e-x + x2 is

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Q: Sec-S 2 1 TanOLO

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Q: Find the equation of the tangent line to the graph of g(x) = f'(x) at x = -1 when f(x) = 5x³ + 2x² +…

A: Here, f(x)=5x3+2x2+2x

Q: Compute the derivative of the function y = 6 sin¯'(x) at the point x = . CUse symbolic notation and…

A: Topic = Derivative

Q: Prove: cosh 3x = 4 cosh° x x-3cosh.x

A: Prove that :- cosh 3x=4cosh3 x-3cosh x

Q: go fexs= 4/x5 %3D

A: Use only power rule of derivative after some simplification in f(x)

Q: 12, for f(x) n(x) Estimate the slope of the tangent line at the point x (Use decimal notation. Give…

A: Given,

Q: tion k passes through the points (4.

A: Please refer to the image below

Q: Find an equation of the tangent line to the graph of function f(x): 3 %3D x+5 at the point (2, ).…

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Q: most general anti derivative  f(x) = x^3.4 - 2.7/x

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Q: Use differentials to approximate √16.5.

A: Given:

Q: Find the derivative y = (2 – x²) cos x + 2x · sinx 2 sin x – sin x (2 – x²) 2 cos x – sin x (2 – x²)…

A: Differentiate wrt x

Q: Find the equation of the tangent line at (3, f(3)) when f(3) 17 and f' (3) = 4. (Use symbolic…

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Q: 5. Question Use the sec ond derivative test to det er min e whether f(x) = 4x3 + 21x + 36x + 20 has…

A: we have to find the minimum and maximum for the given function f by using second derivative test

Q: Use differentials to approximate radical (48.7)

A: Ne need to approximate √48.7 using differentials.

Q: The L'Hopital rule and The derivative of the exponential function. lim (ex + x³)*:

A: Use l hospital rule

Q: If cosh(x) = 25/24 and x > 0, find the values of the other hyperbolic functions at x.

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Q: (1) For what value c on the interval [-10, 10] can the second derivative test be used?

A: Second derivative test is used to check if a critical point is a local minimum or maximum.  So we…

Q: 4. Find the maxima/minima of f(x) = x³ – x using both 1st and 2nd derivative test.

A: Consider the function: fx=13x3-x. Find maxima, minima.   Find f'x by applying axn'=anxn-1.…

Q: 7. State the formal definition of the derivative of the function f(x). Use the definition to…

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Q: Find the equation of the tangent line at (2, f(2)) when f(2) = 8 and f'(2) = 3. (Use symbolic…

A: The solution is given in the next step.

Q: Calculate the derivative for f(x) = (x+5)(x-1)(x-8). (Use symbolic notaion and fractions where…

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Q: Find the exact value of the function: 0 6 arccos (-/-)

A: See this solution in below

Q: sech2(In x)

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Q: compute the derivative. 19. y=(2cosθ+5sinθ)9

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Q: 1. State the power rule. 2. For which values of n have we proved the power rule? 3. Based on your…

A: 1. The power rule of derivatives gives the following: For any real number n,      ddxxn=nxn-1

Q: 6. y 45

A: