Compute the derivative f'(x) for f(x) = log(x*) sin(x³).

Q: Find the derivative of the function.   f(x) = x5 ln(x)   f'(x)=

A: We have to find the derivative of function: fx=x5lnx Here there are two function in multiplication…

Q: Find the derivative of the logarithmic functions: y = ln (tan^2 θ )

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Q: Find the derivative of f(x) = COS 4 log3 (x²) os(5x)

A: Explanation of the answer is as follows

Q: Calculate the derivative of the func f(x) = U(x) Use the log-differentiation method)

A: In this question, the concept of the derivative is applied. Derivative We can use a derivative to…

Q: find derivative of g(x)=integration3x2x (u2-1)/(u2+1) du

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Q: Compute the derivative in terms of log for y=log(xe^(-3x))

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Q: 5) Find the derivative using logarithmic differentiation: y = Xcanx

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: f (x) = ln(x · 5*)

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Q: 2. Use logarithmic differentiation to find first derivative of y (sinx)r

A: Formula used: ddx[u(x)v(x)]= u(x)v(x).ddx[ln(u(x)).v(x)] ddx(u.v) =dudx.v + udvdx

Q: y = (cosx)ln*x|

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

A: y = (lnx)lnx Take log to the natural base e on both the sides to get,

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

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Q: Find the derivative of the function f(x) = 5ª+x² + log3 (In x). %3D

A: To find the derivative of the given function.

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

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Q: compute the derivative g(x) = tan−1(ln x)

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Q: Find the derivative of the function. f(x) = 2x2 In 2x f (x)= 2x[1+2 log(2x)]

A: fx=2x2ln2x

Q: Find the derivative of the function.

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Q: a the derivative of h(x) = ln + 2 x5 et |

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Q: compute the derivative f (x) = ln(csc−1 x)

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Q: Find the derivative of the logarithmic function. 3x f(x) = In %3D x+2,

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Q: Find the derivative of xn by first principle or ab-initio method.

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Q: x(2x+3) 17. f(x) =- (x° +1)

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Q: Find the first derivative of the function of f(x) using any method?

A: Given,

Q: 22 Find the 43rd derivative of (1 + x²)“ at x = 0. 0.

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

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

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Q: Find the first and second derivative of f(x) = ln(x)/rootX

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Q: Find the derivative of the function.   y = In(x)/x9

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Q: Use logarithmic differentiation to find the derivative of the function. y - (cos(4x))"

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Q: Compute the derivative of (ln x)^ln x

A: To find the derivative of (ln x)ln x Using the exponent rule ab=eb ln a we get, (ln x)ln x=e(ln x)ln…

Q: Use logarithmic differentiation to find the derivative of the function y = (sin(9x))In(x)

A: The given function is y=sin9xlnx

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

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Q: Use logarithmic differentiation to find the derivative of the function. y = (In x)cos 2x

A: To differentiate

Q: Use high-accuracy differentiation formula O(h) to estimate the first derivative of f(x)=log.x.…

A: Consider the given function, fx=logx Here we need to estimate the first derivative of the given…

Q: Find the derivative of: ln(sin-1x)

A: We need to find the derivative of ln(sin-1x).

Q: Find the derivative of  f (x) = ln( ln (ln 3x))

A: To find the derivative of f(x) = ln( ln (ln 3x)), differentiate f(x) with respect to x.

Q: What is the first derivative of g(x) = ln #*+1? x2

A: Derivative of ln(x):       ddx(ln(x))=1x Division rule of derivative:-…

Q: Use logarithmic differentiation to find the (3x + 1)* (x – 4) - derivative of f(x) (x2 + 1)° ·…

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

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Q: Calculate the derivative of the function y=log2 x ln (2x) at x=1.

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Q: 4.x³ (log3 x)° b. y = (csc5 x) /sinh(2x – 8)

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Q: use logarithmic differentiation to find the derivative of the function fx)=(sinhx)s(sx)

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

Q: What is the derivative of the function  x^8(ln(x))?

A: To find the derivative of the function x8(ln(x)) as follows.Redefine the function as follows.

Q: Use logarithmic differentiation to find the derivative of y with respect to the independent…

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Q: Use logarithmic differentiation to find the derivative of the function. y = (In(x))cos(5x)

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

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Q: Find the second derivative of g(x) = secx.

A: Given : gx = sec2x