find y' and find the slope of the line tangent to the graph of y = sin-1(x/4) at x = 2.

Q: Find the derivative of f(y) = 2 sin y + sin² y and then use it to find all coordinates on the graph…

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Q: Calculate the derivative with respect to x of the other variable appearing in the equation. exy =…

A: Given, exy=siny2

Q: Find the nth-order derivative of the function y=arctanx at the point x=0.

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Q: How to solve for the derivative of Dy[tan(y)+1/tan(y)-1]? If it's 0, why?

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Q: Find the second derivative of y=(tan(2pix))^3

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Q: Find the derivative of  y=sin^-1(cos(x))

A: We can find the derivative as below

Q: 2. Find the derivatives of Y with respect to x if; x=arc sin ex.

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Q: Find the derivative of the function. y = sin-(6x + 1) y' =

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Q: 45. y = cos vsin(tan x)

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Q: Calculate the derivative with respect to x of the other variable appearing in the equation. sin(x +…

A: The given equation is  sin(x+y)=x+cosy ...................................(1)  differntiate with…

Q: Find the derivative of the function. y = sin(tan(3x))

A: Given : y = sintan3x

Q: Y=2In(Sin x)

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Q: Find the derivative of y with respect to x. y = 2x 4 sin -1 x

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Q: Find the derivative of the function y = arctan x + x 1+x²

A: Given: y=arctanx+x1+x2Recall the formulas:ddxarctanx=11+x2     ..........1ddxuv=vdudx-udvdxv2…

Q: 2. In y = 2" + x cosh 2x

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Q: Find the derivative of 3 In xy + sin y = x².

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Q: cosx y =-

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Q: Find the derivative of the function y = 2x arccos x − 2√(1 − x2 )

A: If the two functions f(x) and g(x) are differentiable (the derivative exist) then the product is…

Q: 4. Use implicit differentiation to find an equation for the tangent line to the graph of sin(x +y) =…

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Q: Find the derivative of the function y= arctan x +x/1+x2

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Q: Find the derivative of the function. y = sin(tan 3x) y' = II

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Q: The second derivative of the function is y = arctan 2x

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Q: Find the slope of the curve y = tan-!x at a1, b without calcu- 4 lating the derivative of tan-x.

A: Given y=tan-1x

Q: Find the derivative of the function y = arctan x+ 1+x?

A: To find: The derivative of the function . Calculation: Find the derivative of the function.

Q: Find the derivative of the function y = cosh−1(3x)

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Q: Find the derivative of y = 2x cos x − 2 sin x.

A: Given function y=2xcosx-2sinx dydx=ddx2xcosx-2sinx=ddx2xcosx-ddx2sinx Recall the formula…

Q: Find the derivative of y with respect to the appropriate variable. y = cosh12 x+ 5

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Q: Find the differential for y = tan 2x2

A: Find the differential equation for given equation We need to take derivative for tan using the…

Q: Find the derivative of y = 21+arctan x

A: By using derivative formula

Q: Va2-x² Y=Arc sin + a

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Q: Find the derivative with respect to 0: y = In(sece + tan 0)

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Q: 3. y = sin¬(1+x²)

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Q: Find the equation of the tangent line to the curve y = ln(4 ln x) at the point where x = e. %3D

A: It can be solved using differentiation.

Q: Find the derivative of y = sinx / (1+cosx).

A: Topic  =Derivative

Q: Find the derivative of y with respect to x. y = 3 sin -1 (5x 3)

A: Given data:     The given expression is: y=3sin-1(5x3).   Assume 5x3=u and differentiate it with…

Q: Find the derivative of the function. y =sin(tan 2x )

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Q: 9 y = Arctan(+x, 1- 2x

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Q: 7) y=cos/2x+1

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Q: Find dy/dx by implicit differentiation. Then find the slope of the graph at the givn point  3x3y=6,…

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Q: 2.) y = tan¬1 – 6•x³ y' =

A: We have to find the derivative of the function: y=tan-1-6·x3 We know the formula of derivatives,…

Q: Find the derivative of the function. y = sin(tan(8x)) y' = %| II

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Q: Find the derivative of y with respect to x. 58)y tan (In 2x)

A: Firstly, we use the result that  derivative of inverse of tan of x is 1/1+x^2

Q: Find the derivative of the function. y = ln∣sec x + tan x∣

A: given function, y= ln | sec x + tan x| we have to find the derivative of the given function

Q: Find the derivative of the function. y = 2 tan-(sin x) y' =

A: Using derivat formulas.

Q: 2. Calculate the derivative of y = arccos(e arcsin(x2)

A: Let u=arcacos(e^x) and v=arcsin(x^2), then y=u/v

Q: Find the derivative of the function. y = cos V sin(tan(3x)) )

A: Topic = Derivative

Q: y = sin(3x²) cos(3x²)

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Q: Find the derivative of the function. y = sin(tan 8x) %3D

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Q: calculate the derivative y = (sinh−1(x2))3

A: Given The chain rule of derivative is given by: The derivative of the inverse hyperbolic function…