Determine q'(x) when q(x) = 8(4¹) X4 Sorry, that's incorrect. Try again? q'(x) = |

Q: Find f(-2) for f(x)=3x2^x

A: f(x) = 3x2^x we can also write this as f(x)=3x(2x)

Q: Differentiate y = 3e2x/(1 + x2.)

A: y=3e2x1+x2

Q: 4

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Q: Evaluate I = = / x*(x² + 4)³/ª dz

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Q: For F = (3xyz^2,y^2sinz,xe^(2z)). Find ▽⋅F and ▽xF.

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Q: y = (x' - 2x2 +3) (7x² – 4x)

A:

Q: For f(x)=x+6sqrtx, find (f^-1) (55)

A: Given data: The given function is f(x)=x+6(x)1/2. The given expression can be written as,…

Q: Differentiate y = 5/x4 - x3 + 1.

A: We need to differentiate y = 5/x4 - x3 + 1.

Q: If sqrtx-6/sqrtx+6, find f'(x) and f'(3).

A: We have to find derivative of f(x) and f'(3), where f(x) is given by ,

Q: Evaluate ∫4x+5/(3x+2)(x+3)dx

A: Given Integral: ∫4x+53x+2x+3dx   To find: Evaluate the given function. Formula used: i) Partial…

Q: y=cosh^-1 (3)

A: We have to find the value of the given expression y=cosh-13.

Q: 1. Use the function f(x) = 4x°e* to answer the following problems: (a) On which interval(s) is the…

A: The given function is: fx=4x3 ex (a) To find the interval in which the function f(x) increasing?

Q: dx G-x³)}

A: The integration of the integral is x2/(1-x2)3/2.

Q: y = In( sech2x)

A: The objective of the question is to find the derivative of the function y = ln(sech^2(x)).

Q: y = -2x³ 4x* + 2x3 5x + 15, find y'"' - -

A: Given: y=-2x5-4x4+2x3-5x+15

Q: Compute the arc length function L = | ||r(u)||du for r(t) = (16t/2, In(t), 32t), and a = 1. %3D la L…

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Q: differentiate y = (x - 1)/(x + 1)

A: Given function: y=x-1x+1 Differentiate the above function w.r.t 'x' dydx=ddxx-1x+1

Q: lim (Vx2 + x (v. – x

A:

Q: Find f(x) if f"(?) = 12x^2+6x−4 and f(0) = 4 and f(2) = 10

A: f''(x)=12x2+6x-4f(0)=4f(2)=10∫xndx=xn+1n+1+c

Q: 192) Find la(21)=?

A: Note the logarithm property : logaxy=logax+logay where x,y>0 and a>0 ,a≠0 . logaan=n ; where…

Q: ii) ∫7x-25/(x-3)(x-4) dx

A: Given,          ∫7x-25x-3x-4dx

Q: y=(x+1)/(x^3+x-2) differetiative

A: Given function y=x+1x3+x-2. The objective is to differentiate the function.

Q: Find f”(x) for the function f(x)= -4x^2-4x-9

A:

Q: 2. (81-x')

A: Consider the provided integral,∫x381-x22dx apply the trigonometric substitution,x=9sinθ then…