Calculate the derivative of: cos-(8x) sin-(8x) f(x) f'(x) = 8|

Q: Compute the derivative using derivative rules. y = sin(x2) cos(x2)

A: Given: y=sinx2cosx2

Q: Find the 7th derivative of: f(x)=sin(x)cos(x) f’=? • • •

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Q: In y = 22 cosh1 2x

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Q: Find the derivative of f(x) = 3x° cos(x). 8 CoS f'(x)

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

Q: Find the derivative of the function. 1-X y arctan, 1+x y'= I3D

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Q: Compute the derivative using derivative rules. y = 4e -x + 7e -2x

A: Given:     To determine: derivative of the given function

Q: f(x) = Arctan csc² ( 3x

A: Some derivative formulae: ddxtan-1x=11+x2ddxcscx=-cscx cotx Chain rule of derivative:…

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

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Q: Find the derivative of f(x) = (Cosx)*

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Q: Find the derivative of f(x) = tan³(sinx) + +

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Q: Find the derivative of f(x) = tan(sin(2x))

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Q: f(x)= xe* In(x³)

A: f(x)=xe-xln(x3)According to question we have to calculate the derivative of the function.

Q: Find fifth order derivative of the function f(x) = x*Sin (2x +1) by using Leibnitz theorem.

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Q: Find. the derivative of tan(x)). with respect to X 1- y3=

A: Explanation of the answer is as follows

Q: Determine the derivative of the function y=arcsin 2x / 1+x2 at x=2.

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Q: Find the derivative of f(x) = 2(x² + 3x) cos(sin(x³)).

A: I have used product re and derived of composition of two function

Q: Compute the derivative of f(x) = sin2x

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Q: derivative of y = arctan(x2+ 3)

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Q: Solve for the derivative of the function using chain rule. 11. f(x)= ln(sin(8x))

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Q: Find the derivative of 1. y= tan (x* + 3x³)

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Q: Estimate the derivative of f(x) = sinx atx = ~-

A: Consider the provided function, fx=sinx at x=π2 Find the derivative of the function. First, we…

Q: Compute the derivative of the fo f(x)= 2x+3x ex

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Q: Compute the derivative using derivative rules. y = cos(te- 2t)

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

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Q: Find the derivative of f(x) = sin x²+ cos x

A: fx=sinx2+cosx

Q: Find the second derivative of f(x) = sin(3x) - cos(2x)

A: We have to find second derivative of  f(x) = sin(3x) - cos(2x)  Then   First derivative of f(x) is…

Q: Find the second derivative using implicit differentiation of x2+8y2=8

A: Given:

Q: Differentiate f (x) = In(vx² + 1 sin* x) and write the derivative in its simplest form.

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Q: tan (2x) 3. y = sin (5x–1)

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Q: Use Leibnitz's Theorem to calculate the 4th derivative of y = x^sin (3x)

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Q: Find the derivative of Vry = -3+x*y° using implicit differentiation.

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Q: What is the derivative of f(x)=2sin(x) at the point x=−π/2?

A: To find the derivative of fx=2 sinx, at the point x=-π2.

Q: find the derivative of this inverse hyperbolic function f(x) = cosx tanh-1(sinx)

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Q: Find the derivative of ry = -3+x*y° using implicit differentiation.

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Q: FIND THE FIRST DERIVATIVE OF THE FUNCTION cos r. y = cosx О а. SIN3X O b. - COS3X О с. COS3X O d.…

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Q: cos X sin x + cosX

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Q: Calculate the derivative of y = e1+sinx.

A: Given, y = e1+sinx.

Q: 6. y = vx sin-'(x)

A: we havey=x sin-1(x)

Q: Find the derivative of the function.

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Q: Find the derivative of h(x) = sin2x

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Q: Find the derivative of the function f(x y) = tan-1Y at the point (5, -5) in the direction in which…

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

A: Topic  =Derivative

Q: Use Leibnitz's Theorem to calculate the 4th derivative of y = x+sin(4x)

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Q: Calculate the derivative. y = cosh(x³)

A: We have to find the derivative of hyperbolic function.

Q: find the derivative of y=sin2(3x).

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Q: Calculate the derivative of y=tanx using the quotient rule.

A: Given that, y=tanxy=sinxcosx        Using tanx=sinxcosx

Q: find the derivative of the fuction f(x)= 5sinx/3x+cosx

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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 F(x) = tan (5x + 7), by first principle of differentiation

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Q: Find the derivative of y = arccos x + x 1-x²

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