Find the derivative. d In dx ...... d dx

Q: Find the derivative of the function. y = 3 cot nx

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Q: Find the derivative. dx dx

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Q: Find the derivative of w = (2² - 8²)* du = dz

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Q: Find each derivative Dx (3x cos x)

A: Given: fx=3xcosx We know that ddxu.v=vdudx+udvdx                                             ..1

Q: Find the derivative. y = e(lnx)2

A: dydx=ddx e(lnx)2        =e(lnx)2 ddx2(ln x)         =e(lnx)2 2x

Q: Find the derivative of the following: y = ln( x^5 + 7) ^ 4pi

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Q: a d Find the derivative: dx In(*) dt

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Q: Compute the derivative: d 4 dx x2 5 x=1 The derivative is:

A: The solution of the problem is given in the next step.

Q: compute the derivative. h(t) = et csc t

A: The given function is: h(t) = et csc t To find the derivative of the given function h(t) = et csc t,…

Q: Find the indicated derivative. Then find an equation of the tangent line at the indicated point on…

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Q: find the indicated derivative. d/dx(x8)

A: Given; x8 To find the derivative of x8 Differentiate the given function x8 with respect to x we get,…

Q: g (x) sin? x + cos?

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Q: Use implicit differentiation to find ?? dy/dx

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Q: Find the derivative d/dx of the following

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Q: Find dy/dx (the derivative)

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Q: Find the derivative of the cosine function y=cosx.

A: To find derivative of cosine function

Q: 19. e* +e" = e*+ 20. ye* +xe" =1

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Q: Find the derivatives of the functions tan, cotan, sec, and cosec.

A: We know that (sin x)' = cos x(cos x)' = -sin x We will use the formulas uv' = vu'-uv'v2 Consider tan…

Q: Find the derivative of ?(?) = 12 cos ?.

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Q: d dx

A: Given:        ddx22x   Apply exponent rule:        aux'=lna·aux·u'(x)…

Q: Compute the derivatives. d/dx (5ex)

A: The function is:        5ex Find the derivative.

Q: Compute the derivative, dx dx

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Q: Calculate the derivative.

A: Use the power rule and sum of derivative:

Q: Find the derivative of the function. s = t6 et

A: To find the derivative of the function use the product rule. Let's take an example: Let y=uv and u…

Q: Find the derivative. y = In /x+7 y' = D

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Q: Find the derivative. d 6. dx 6. X, dx

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Q: 3. dx 4.-72 dt

A: ddx∫1x34-t2 dt

Q: Find the derivative. d (Wx+Vx) =] dx

A: Differentiate wrt x

Q: Find the derivative of the given equation below. d (Va + bs) ds

A: Consider the derivative ddsa+bs To find the derivative use the below rules exponent property,…

Q: - [5√3x d dx

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Q: Find the second derivative of y = cot 3x

A: To differentiate the function in the first derivative as y' ordydx  and the second derivative as y''…

Q: Find the derivative of the function. y = e In(7x)

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Q: Find the derivative dy/dx for:

A: Our Aim is to find the derivative dydx  for:-(i) y=(x3+x4)5(ii) y=3xlnx(iii) y=x arctan(4x)

Q: B) Find derivative of the following function d -6tanx dx

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Q: Find the derivative (dy/dx) of the following functions: a) xy = cotxy %3D

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

Q: Find the derivative d (2* log2 x) dx

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Q: Find the derivative of the function. y = cot2(cos(θ))

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Q: COS te

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Q: y =x arcsec(e*)

A: To find the derivative of the given function we need to use chain rule of differentiation and…

Q: B) Using the definition of derivative, find dx

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Q: Use logarithmic differentiation to find dy/dx for the given equation. y=x2sinx

A: Given that value of y and we find its derivative with respect to x . Here i attached solution of…

Q: Find derivative of the following function d -6tanx dx

A: Given query is to find the derivative of the expression.

Q: Find the derivative. 4 dx dx

A: Explanation: Given that,  ddxx6-4x

Q: Find the derivative of the function. Simplify wherepossible.

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Q: Compute the indicated derivative. d + x)(x5 – x)]. dx x = 1

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Q: Calculate the derivative indicated. dy where 9. r3 + 9x? dx? lx=5

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Q: y" a ||

A: This is the problem of Autonomous Differential equations.

Q: Find the derivative E

A: The derivative of given expression is f(x)=x2+4=ddx(x2+4)12 =12(x2+4)-12(2x) =x(x2+4)=

Q: Find the derivative of the function. 6ew 7w dr dw

A: