Find the derivative using the product rule. y = eX In x

Q: Find the derivative of the function.

A: Given: To find: Derivative

Q: Find the derivative of the function f(x) = (In x)°.

A: Given that,             f(x) = lnx3 Differentiating with respect to x, we get                  f'(x)…

Q: find the derivative y= (sinx)*

A:

Q: Find the derivative of the function. y = (tan-(3x))2 y' =

A: Solution: The objective is to find the derivative of the given function

Q: Find the derivative of the following function y = xsinx

A:

Q: Find the derivative of the following function using appropriate rules of differentiation. y = Vx csc…

A: Use  product rule of derivatives. d (u.v)/dx = v.(du/dx)+u.(dv/dx)

Q: Find the derivative of the function below using differentiation rules. y=ln(x)/x

A: Given. We are given a function such that f(x) = ln(x)/x We need to find derivative of the given…

Q: y = In

A:

Q: Find the derivative of the function f (x) = sin°(x) (),

A:

Q: Find the derivative of the function. y = x2 csc x

A: The derivative of any function y=f(x) for the variable x is defined as the rate of change,for which…

Q: Find the derivative of the function. y = In(x8)

A:

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

A: Given : y = sintan3x

Q: Find the derivative of the following: y=−x2⋅sinx

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Q: Find the derivative of function.

A:

Q: Find the derivative of the function.

A: Given: g(x)=arcsin(3x)x

Q: Use the rules of differentiation to find the derivative of the function.

A: The given function is y=1x5

Q: y х? + 3x — 1

A: Given: y=1x2+3x-1

Q: Find the derivative y = cosh(2x)

A:

Q: Find the derivative of function.

A: Given, y=3x2lnx derivative of function dydx dydx=lnx.d(3x2)-3x2d(lnx)lnx2…

Q: Find the derivative of the cosecant function y=cscx.

A: Given: y=cosecx we know that cosecθ=1sinθ similarly, y=cosecx=1sinx

Q: Find the derivative of the function. y = 2 tan 5x

A: To find the derivative of: y=2tan5x Solution: y=2tan5x Differentiating both sides w.r.t x we get:…

Q: ■ Find the derivative of the function. Simplify wherepossible.  y =  ( tan -1 x ) 2

A: y=tan-1x2

Q: Find the derivative of y with respect to x using implicit differentiation in the equation *'y =…

A:

Q: Find the derivative of the function. Simplify and express the answer using positive exponents only.…

A: We will use the product rule of differentiation and chain rule of differentiation while solving.

Q: Find the derivative of y with respect to x.

A:

Q: Find the derivative of the function. "1(* - VI + x) y = 9 tan

A: derivative

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

A:

Q: Find the derivative (x) = 2 In x – Vĩ

A: Given: fx=2lnx-x   As we know that; The sum/difference rule:  f±g'=f'±g' The Power law; ddxxn=nxn-1…

Q: Find the derivative of f (y) In(y)

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Q: Find the derivative of the function.

A:

Q: Find the derivative of y with respect to x. -1 y = tan (In(2x))

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Q: Use the chain rule and product rule to find the derivative of f (x) = e" (sin(x)² + x).

A: Given Data: Function: ex(sin(x)2+x)   The chain rule of the derivative is, ddxfgx=fgxg'x ......1…

Q: Use the Product Rule or the Quotient Rule to find the derivative of the function y = x4/cos x

A: Given function: y=x4cosx Recall Product Rule ddxmn=mddxn+nddxm…

Q: Find the derivative of the function cos (x) using the definition

A: We have to find the derivative of cos (x) by using definition of derivative

Q: Find the derivative of by using the product rule. * y = (1+ væ³) (x-3 – 2x)

A: To find the derivative of y=1+x3x-3-2x3 using product rule. Solution: Product rule of derivative…

Q: Find the derivative of the function. y = (tan-(4x))2 y' =

A:

Q: Find the derivative of the secant function y=secx.

A: The give function is y=secx.

Q: Use the Product Rule to find the derivative of the function.                                 f(x) =…

A: we have to find the derivative of the given function using product rule.  f(x) = x3 cos x

Q: y = In(sin x)

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Q: Find the derivative. y = x In(x) + x

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Q: n. y= (x+Inx)

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

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Q: y= /sin(x)+1

A: Here we have a function to find its derivative.

Q: Find the derivative for y=

A:

Q: Use the Product Rule or the Quotient Rule to find the derivative of the function y = x cos x − sin x

A: Here given function as y=x cos x - sin x

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 following function: y=(sinx/3x)+(3x/sinx)

A: Given function is:Applying derivative with respect to x:Distributing the derivative over addition:

Q: Find the derivative of the function   y = x sin1/x

A:

Q: y = /sin(x) +1

A: