compute the derivative R(s) = sln s

Q: Compute the derivative of the function F (x) = L evi dt.

A:

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

A: Given: y=sinx2cosx2

Q: compute the derivative. g(x) = tanh−1(ex )

A: We have to compute the derivative of the function: gx=tanh-1 ex We know the formula of derivatives,…

Q: find the derivative of - (z+j)?

A:

Q: Using Leibnitz theorem, the nth derivative of xy, is

A: We have to find nth derivative of xy1 using Leibnitz theorem.

Q: Compute the derivative of f(x) = 7 ln (x + 10) + In (x³ ): Answer: f'(x) =

A: Given function is  f(x)= 7ln(x+10) + ln(x3), we have to find the derivative of f(x) with respect to…

Q: Determine the derivative of p(z) = z* + 4° + 4 cos(z)-sin( )

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Q: f(x) = cos (x – a -2).

A:

Q: Find the derivative of the function. F(x) = et dt

A: The function is given as F(x)=∫xx2et4 dt. The Leibnitz rule of differentiation under the integral…

Q: Compute the derivative: 3 | Vsin t dt dx

A: To find ddx∫x3sin t dt We know that, ddx∫u(x)v(x)f(t) dt = f(v(x))v'(x)-f(u(x))u'(x) Then, we have,…

Q: Compute the derivative of (arctan(x))^e^x

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Q: Compute for the derivative of the function using logarithmic differentiation g(y) =…

A: Logarithmic differentiation: - The use of logarithms to derive the derivatives of some difficult…

Q: f (x) = ln(x · 5*)

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Q: Find the derivative of f(x) = ln∣cos x∣.

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Q: Find the 46th derivative of y = cos (x) sin (a) cos (2) cos (x) - - sin (x)

A: Given y=cosx

Q: Find the derivative of function.

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

A: y=exlnx

Q: Find the derivative of y with respect to θ, y=6θ(sin(ln(6θ))+cos(ln(6θ))).

A: To find derivative of y.

Q: calculate the derivative with respect to x. ln x + ln y = x − y

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Q: Find the 139th derivative of y=cos x а. Cos x b. Sin x С. -Cos x d. -Sin x

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Q: What is the derivative of ln(sin x + cos x)

A: Consider the given function:

Q: Compute the derivative using derivative rules. y= cos(1/x) / (1 +x 2)

A: Derivative: The rate of change of a function with respect to a variable. y=fxy'=limh→∞ f(x+h)-f(x)h

Q: Find the derivative of ,In sin-1) y = e %3D

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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: sin 0 r (0) = log„(ršin ® – sin" 0)

A: We know that, from the derivative formulas ddxax=axloga       ⋯⋯1ddxlogx=1x…

Q: find the derivative of y with respect to x, t, orθ, as appropriate.

A: On simplification, we get

Q: compute the derivative. y = z csc(9z + 1)

A: y=z csc9z+1

Q: compute the derivative g(x) = tanh−1(ex )

A:

Q: Compute the derivative. Use logarithmic differentiation where appropriate. 3)X d. 1+- dx 1+ dx

A: Differentiation is given below

Q: Compute the derivative of f (x) = (x – 3r) cos(r). -

A: You will find the derivative of the given function using the product rule of differentiation which…

Q: Calculate the derivative using implicit differentiation: x³w + w® + wz² + 4yz = 0 dz az

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Q: Can you help me step by step with this problem?

A: Given,

Q: Find the derivative of f(x) = e" – a3 +In(x) - In(x)

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Q: Use forward-difference formula to evaluate the first derivative of y = cos(x) at x = using a value…

A: Given we have given the function y=cos(x) we have to find the first derivative of y = cos(x) at x =…

Q: compute the derivative G(s) = (ln(s))2

A: Given expression

Q: n. y= (x+Inx)

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Q: Find the derivative of h(x) = (1+ cos x)*

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Q: compute the derivative h(z) = sec(z + ln z)

A: Given

Q: find the derivative of y with respect to x, t, orθ, as appropriate. y = ln (cos2 θ)

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Q: Find the derivative of g(x) = fecost dt.

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

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Q: is the derivative of In

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Q: Compute the derivative of f(x) = arcsin(x² e3=).

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

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Q: (3) Compute the derivative of the function Cos tdt.

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Q: Show that the derivative of f(x) =xln(x)−x is ln(x). Use this to compute∫ln(x)dx.

A: Sum/difference rule of differentiation,

Q: Compute the derivative of f (x) : = arcsin(x² e³«).

A:

Q: (In iny

A: To find the derivative of the given function- lny=lnxylny Here we will use the following formulas-…

Q: Find the derivative of s(*) - L Int dt 1+t

A: