Evaluate the derivative at x = 1 for y = In ()

Q: find the derivative of y with respect to x, t, or θ, as appropriate. y= ln x3

A: Given:

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

A: Given: y=sinx2cosx2

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 of the function. 1-X y arctan, 1+x y'= I3D

A:

Q: f(x) = Arctan csc² ( 3x

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

Q: find the derivative using the appropriate rule or combination of rules. y = (x3 + cos x)−4

A: Given that, y=(x3+cosx)-4

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 the derivative of ¤(x) at x = /3/2 where rsin-'(x) $(x) = eº tan 0 do. x2

A:

Q: find the derivative of y with respect to the appropriatevariable. y = sec-1 5s

A:

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: Find the derivative of the function without using the Quotient Rule. y

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

A:

Q: Find the derivative using the long method y = sec x

A:

Q: Find the derivative of the functions. y=cosh^-1 (3x)

A: We have to find derivative of the function: y=cosh-13x Rewriting the function, y=cosh-13xcosh y=3x…

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

A:

Q: Estimate the derivative of f(x) = sin x at x = π/6.

A: Given,       f(x) = sin x at x=π6

Q: Find the derivative of the function. rlx) = [in[x*}}°

A:

Q: Compute the derivative using derivative rules. y = tan(x 2 + 4x)

A: We have to compute the derivative of the function: y=tan x2+4x We know the formula of derivatives,…

Q: Calculate the derivative of the function y=1+cosxsinx.

A: Given: y=1+cosxsinx we know that for finding derivative of given function we need to use product…

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

A: y=exlnx

Q: Find the derivative of the function without using the Quotient Rule. y =

A:

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

A: Given:y=arctanx+x1+x2Differentiate formula:ddxarc tanx=11+x2ddxuv=vdudx-udvdxv2

Q: Find the derivative of the function f(x) = cosh(8x + 1)

A:

Q: find the derivative of y with respect to the appropriatevariable. = cosh-1 2√x + 1

A: Given: y=cosh-12x+1Here ,we havecoshy=2x+1Taking the derivatives on both…

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

A:

Q: Find the derivative using the appropriate rule or combination of rules. y = (x3 + cos x)−4

A:

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

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Q: Find the derivative of the function.

A:

Q: h(x) = tan(x' sinx) sinx (b) y= - V1+ cosx

A: Topic = Derivative

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

A:

Q: FInd the derivative of f(x) =ln 1+ex/1-ex

A:

Q: Find the derivative of the function y = 2x − cosh √x

A: The given function is y=2x-cosh x. Obtain the derivative of y=2x-cosh x as follows.

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 the function using chain rule. f(x) = esin?x

A:

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

A:

Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = ln3/x

A:

Q: Find the derivative of the function. using chain rule y = sin(sin(sin x))

A: Given: y=sinsinsinx

Q: find the derivative of y with respect to the givenindependent variable. y = log25 ex - log5 √x

A:

Q: What is the Derivative of: y = extan x

A: Given: y=ex tan x To Find: dydx=?

Q: What is the Derivative of yx

A: f(x) = yx

Q: Find the derivative of y with respect to x for y=2x   ???

A: y=2x

Q: find the derivative of y with respect to the appropriatevariable. y = csch-1 2θ

A: Given, y=csch-12θ

Q: Calculate the derivative of the function y=arccos x arctan x at x=0.

A: Differentiating with respect to x, we get

Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = ln (sec (ln θ))

A:

Q: find the derivative of y with respect to the givenindependent variable. y = 2x

A: y=2x

Q: Compute the derivative of the given function. f (x) = 2 ln x – vT

A: Given fx=2lnx-x To find the derivative:

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: use logarithmic differentiation or the method to find the derivative of y with respect to the given…

A:

Q: State the notation/symbol for: derivative of y with respect to x derivative of f(x) second…

A: Since you have asked multiple questions in a single request, we would be answering only the first…