Find the derivative of y with respect to x. y = In (x) dy 8. dx %3D

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Q: Find the derivative of y with respect to t. y = In (4te 8t) dy

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Q: Find the derivative of the function. y = In|sin x| dy dx I|

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Q: Calculate the derivative of y with respect to x. xe' = 3xy + 5y dy dx

A: We have to find

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A: Given equation is

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A: Consider the given equation:

Q: Find the derivative of the function. *sin(x) y = Jcos(x) In(1 + 5v) dv

A: We have used the lagranges theorem to find the derivative of an integral

Q: Find the derivative of y with respect to x for y = 7*. dy dx II

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Q: the implicit derivative of     sin(y) − xy^3 = e^(−3x^2)

A: Givensiny−xy3=e−3x2

Q: Find the derivative of y with respect to x. y = 9 In (6 In x) dy %3D dx

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Q: Find the derivative of y with respect to t. y = csc -1(e') dy dt

A: The chain rule of derivative states: f∘g'=f'(g)×g'. The derivative of exponential function is…

Q: find the indicated derivative. dy/dx if y = 1

A: y=1

Q: Find the derivative of y with respect to x. Y=ln(13x)+x dy/dx

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A: To determine the derivative of given function.

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Q: Find the indicated derivative. dy for y =x19 dx

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A: Given:

Q: Find the derivative of the given function. 5x y= In 6+x dy dx

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Q: Find the derivative of y with respect to t. y=sin (V3t) dy

A: Given function is  y = sin^-1(√3 t)

Q: Find the derivative of y with respect to x if y = e¯1X. dy dx II

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Q: Find the derivative. dy if y(x) = /x2 + 12 dx dy dx

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Q: Find the derivative of y with respect to 0. y = In (4 cos20) dy de

A: Given, y = ln4cos2θ  We have to find dydθ

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A: We have to use the formula: with a=11

Q: Find dy/dx, using implicit differentiation. e*y 8 dy dx Compare your answer with the result obtained…

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Q: find the derivative of y with respect to x, t, or u,as appropriate. y = e^(cos t + ln t)           .…

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: Find the derivative of y with respect to t. -1(e 3t) y = csc dy dt

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Q: Find the derivative of y with respect to t.   y=t(ln2t)^(2)

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Q: Find the derivative of y with respect to x. y = sec 1(3x? + 1), x>0 dy dx II

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Q: Find the derivative of y=√x(x+9)   dy/dx=

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Q: Let y = In(x'e2x ). Find dy/dx.

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Q: Take the derivative of the following: Dy= 3xe y = e (3) e y = @y= In () 10 Y=ln (In x)

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Q: Find the derivative of y with respect to x. Y=ln(13/x) dy/dx

A: Given, y=ln13x we have to find derivative of y with respect to x.

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Q: Find the indicated derivative. dy for y = 1- 2x2 x4 - 2x2 dx + 3 dy dx

A: Quotient rule: ddxuv=vddx(u)-uddx(v)v2

Q: Find the derivative of y=cos^3w+cos(w^3) dy/dw=

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Q: Find the derivative of the given function. 2 y = x sin x+x cos -3 dx

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Q: Find the derivative dy if y(x) x 3 dx dy dx

A: Given function is

Q: Find the derivative of y with respect to x. - 4x y = (3 + 12x) e dy %3D dx

A: Given function is

Q: Find the derivative of the function. y = 5 e - 5x+1 dy dx

A: Note:- Answer is given in the picture

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A: The given expression is,

Q: Find the derivative of y with respect to t. y = 5sin (4t)

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Q: Find the derivative of y with respect to X Y=cos^-1 ( 3x^7) dy/dx=

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Q: What is the derivative of y = x3/x3 with respect to x? [(dy)/(dx)] =

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Q: - 18x Find the derivative of y with respect to x if y = e dy %3D dx

A: We have to find the derivative

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A: We use chain rule of differentiation which states that if f(x)=g(h(x)), then f'(x)=g'(h(x))h'(x)

Q: Find the derivative of y with respect to x. y = (9x + 7)* dy dx

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Q: find the derivative of y with respect to the givenindependent variable.

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A: Recall the following facts.