If f(x) = 4x sin z cos x, find f'(x)= Find f'(3) = | %3D

Q: Find dy/dx by implicit differentiation   2x3 +x2y  -xy3  = 2

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Q: Find the derivative of f(x) = COS 4 log3 (x²) os(5x)

A: Explanation of the answer is as follows

Q: Find the derivative of the function. 1 In(1 + 49x 14 y = x arctan 7x dy

A: Given y = xtan-1(7x) -114ln(1+49x2)dydx = d xtan-1(7x) -114ln(1+49x2)dxdydx =…

Q: Determine the first derivative of the ff. function dz y = e? sin x + In x (arcsin z) with dx 4

A: Determine the first derivative of the function                   y=ez sin x + ln x (arcsin z)  With…

Q: Find dy/dx by implicit differentiation.

A: To find: The derivative of x3y-xy3=4. Concept used: Chain rule of derivative: fgx'=f'gx·fgx Product…

Q: 3 dx|

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Q: 12. cos cos (xy) = 1+ sin y

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Q: Find the derivative of f(x)=sin sin(5x

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Q: 1. Find dy/dx if cos 4y+ysin x =3 2. Use implicit differentiation to find the slope of the tangent…

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Q: d sinh x) = cosh x dx

A: By using hyperbolic functions definition, sinhx =ex-e-x2   and coshx =ex+e-x2

Q: 6. Find dy/dx by implicit differentiation for tan-'(²y) = sin(x²) + 3ry?.

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Q: Find dy/dx by implicit differentiation. 9x3 + x2y - xy3 = 1

A: Given that: 9x3+x2y-xy3=1

Q: Find the anti-derivative of: S(3x* – 6x)° (2x³ – 1)dx

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Q: #11, find dy/dx by implicit differentiation

A: Differentiate question 11

Q: 4. If y = x cos x determine the 5th derivative. [y(5) = (60x – x³) sin x+ (15x² – 60) cos .x]

A: To find out the fifth derivative.

Q: Find the derivative of the function. sin(x) y = In(1 + 6v) dv cos(x)

A: Find the derivative of the following function

Q: Find dy/dx in terms of x and y if cos^2(9y)+sin^2(9y)=y+7 dy/dx=   implicit derivative problem.

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Q: I need to find the derivative of the function f(x) = cos-1(ln(sin(3x+1))) but I am unsure how to…

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Q: Find one anti derivative of (x+1)^2 and then find  integral(x+1)^2 dx.

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Q: The derivative of: y =0( sin (In (0))) in (In (0))) + cos(ln (0)) is is:

A: Given function is rewriting in other variables as: y=x(sin(ln(x)))+cos(ln(x)) Product rule of…

Q: Find dy/dx by implicit differentiation. x4 + yA 5

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Q: 7 dy if Use implicit differentiation to find 8. dx dy dx +

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Q: Find dy/dx by implicit differentiation. 3 cos (9r) sin (2y) = 8 dy/dx =

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Q: Find dy/dx by implicit differentiation. 6,,3 x°y - y = x dy/dx

A: On implicit differentiation we differentiate both sides of the equation with respect to x . Then we…

Q: find dy / dx by implicit differentiation.

A: Implicit differentiation is performed when the dependent variable cannot be explicitly written as a…

Q: What is the derivative of: y = ln ln(1 − cos x)

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Q: 11. Sds 3 ex+2 cos x-sin x 12. S -dx cos2 x

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Q: Find the derivative of the function sin(x) In(6+4v) dv cos(x) y y'(x)=

A: The given function is,

Q: If y = cos x, then the nth derivative of y with respect to x is equal to itself if n is a natural…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Differentiate the following function.   y=ln(x+1)+ln7 dy/dx=?

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Q: find dy/dx of y=sin^2 4x+1/2 cos 8x

A: Given,         y=sin24x+12cos8x

Q: y=ln(sin(X3-1))

A: Detailed explanation is attached below.

Q: Find the given derivative. DX 5x -- Dx 5x 1/3 1/3

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Q: The second derivative y" of y = x3 + ex – sin(2x) is . 1. O y" = 6x + eX – 8 sin(2x) 2. O y" = 3x +…

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Q: Find dy/dx by implicit differentiation. 3+10xv+4x-5x=0

A: Given

Q: 3. Find the derivative D(x *arctan(x)) And the integral 6x dx 9+x

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Q: Find dy/dx by implicit differentiation. 5y sin(x2) = 9x sin(y2)

A: Given :  5y sin (x2) = 9x sin (y2)

Q: The derivative of the function y = cos(x ln 3)log3 (sin x) is:

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Q: Find the derivative dy/dx of y = cos 3x O 3 sinx О З cosx O 3 sin 3x О З сos 3x none of the above

A: We can do this by doing derivative both side.

Q: Find dy/dx by implicit differentiation. sin x + 2 cos 2y = 1

A: the given implicit function is: sinx+2cos2y=1 we have to find dydx by implicit differentiation

Q: Find dy/dx by implicit differentiation at point (0,-2) if x^3-xy+y^2=4. O -2 -2/3 1/2 3/4

A: Implicit derivative at point

Q: Find dy/dx by implicit differentiation   4Sin (x2) =x Sin (y2)

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Q: 2 S Sec'x In cotx) dx (

A: We will solve the problem.

Q: x' sin 2x dx -3x 5. X cos 2x dx

A: We solve these integral by u.v formula of integration

Q: Find the derivative of y with respect to x. y = 4x sin -1 (4x°) + /1– 16x' y = 4x° sin -1 (4x°) +…

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Q: · Find dy/dx by implicit differentiation. 6. 2x? + ху — у? — 2

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Q: 2 sinºx cos®x dx

A: here we use integration method, as we seen that the power of the sin and cos are even . so we use…

Q: 1 dx cos² 2x 3. 4. x² sin (x³) dx S elnvx+1 dx 5.

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Q: The derivative of: y =0(sin (In (0)))+cos(In (0 )) is:

A: Given :y=θ(sin(ln θ))+ cos ln θ dydθ=θcos ln θθ+sin ln θ-sin  lnθ θ      =cos ln θ+sin ln θ-sin  lnθ…

Q: (1) | cosx In (sin x) dx (2) [ xe -TX | хе dx x (3) x -16 dx

A: As per guidelines, we are supposed to solve only first two questions. Please repost other questions…