Find the first order derivative with respect to y of the function u = log(x + x² – y2)

Q: Find the nth derivative of the function y=xex at x=0.

A: To find the nth derivative of function y.

Q: Find the derivative of the function 1-x2 t2sin(t) dt g'(x) =

A: First I have written the Leibnitz rule for derivative of an integral and using them find the…

Q: 3. Use logarithmic differentiation to find the derivative of y with respect to the given independent…

A: we have to find the derivative of y by using logarithm.

Q: Find the 2nd derivative of y with respect to x : y=xe^2x

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Q: 3) Use logarithmic differentiation to find the derivative of the function a) y = Vxe&*x? + 1)"

A: Answer

Q: Calculate the derivative of the function xe" at the point x = 0 %3D O 1 e O 2e

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Q: find (y') by Implicit differentiation e(2x+3y) = x² – In(xy³) 1 Add file

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Q: Show that the function f(t) = sin(e*) is of exponential order as t → +oo but that its derivative is…

A: To show that the given function ft=sinet2 is of exponential order.

Q: Find the derivative of function.

A: To find the derivative of the given function                                                y=log…

Q: Find the derivative of the function. 2 a) f(x) = x² ln(x) b) g(x) = 2" + log, (x + 5) +ez c) y =…

A: We have to find the derivative.

Q: Find the derivative of the function.

A: We know that, logbx=y if and only if, x=by. Also, logbxn=nlogx

Q: part ii, thank you very much.

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Q: Find the derivative of the function.

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Q: Find the derivative of the function f(x) = ln(e" + 5).

A: We have to find the derivative of the function -          f(x)=ln(ex+5) Here , we will use the…

Q: 1 y = V2x+5 /2х+5

A: By see this solution

Q: compute the derivative. g(t) = sinh(t2)

A: g(t)=sinh(t2)

Q: Find the derivative of the function. y = log 4 V3x +2

A: The Answer is Option A

Q: Find the derivative of y with respect to the independent variable. x8)n 5) y =log 5 x-8

A: using the fact of logarithmic  logax=lnxln(a) find the derivative

Q: Find the derivative of the function y = In(8 – e-a f'(x) =

A: We have to find derivative

Q: Find the derivative of the function.

A: Some important derivative formulas: 1. d(lnx)/dx = 1/x 2. d(√x)/dx = 1/(2√x) 3. d[N/D]/dx = [D*(N)'…

Q: Find the derivative of the function

A: Given function, Fx=∫πlnxcoset dt

Q: Determine the 3rd derivative of the function y=x3/x+2 at x=−1.

A:

Q: Find the second derivative of the function.

A: Given the function: g(x)=x + ex  ln(x) We have to find the second derivative of the function. Let's…

Q: 3. Find the derivative of the following using logarithmic differentiation: 2x a. y = (2x – 1)(x + 1)…

A: To find the derivative by using logarithmic differentiation first take  the  logarithm on  both…

Q: (d) y = xnz²

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Q: Find the derivative of y with respect to x. y=log(base)5 e^7x

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Q: Calculate the derivative of the function y = (6^6 + 3)^x using the fact that b^x = e^(x ln b) and by…

A: Consider the given function:

Q: Find the 10th-order derivative of the function y=(x2+4x+1)√ex at the point x=0.

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Q: (b) Find the derivative of y = log,(5x')+log, (sin.x)

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Q: find the derivative of y with respect to the givenindependent variable. y = log4 x + log4 x2

A: Given: By using logarithm base change rule, the function can be rewritten as follows,

Q: find the second derivative of y = x In x A 1/x в) 1/2х D) 2x

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Q: Find the second-order derivative of the following function: f(x) = log2 cos x + ln π

A: We have to solve

Q: Determine the 8th derivative of y with respect to x of the function : f(x) = 1 / 1 + x2 and find the…

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Q: Find the derivative of the function. a. y = In(x + Vr² – 1) b. f(x) = log2 (e "cos Tr) COS

A: According to our policy, when multiple questions are posted we solve only the first question. sorry…

Q: Find the derivative of the function. h(x) = log,(x² + x) h'(x) %3D

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

Q: (a) Find the first derivative of the function y= la) with respect to x by using the chain rule.

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Q: f y = (sin x)x b

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Q: find the derivative of y with respect to the givenindependent variable. y = log3 r.log9r

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

A: The given expression is,

Q: Compute the derivative of x(x + 2) (2x + 1)(3x + 2) y = (a) directly using the Chain and Product…

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Q: Find the derivative of the function In t dt.

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Q: compute the derivative g(t) = sinh(t2)

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Q: Find the derivative of the function.

A: Given- gx=∫1cosx1-t23dt To find- The derivative of the above function. Concept Used- Using the…

Q: Find the first derivative of f = (h+2)² (2h+1) h²+3 V using logarithmic differentiation

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Q: 24. Find the first order derivative with respect to x of the function u = log(x+ x .

A: The solution for the above question is as shown below.

Q: Find the anti-derivative of g'(x)= log1/2(X)

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Q: find the derivative of y with respect to the given independent variable. 1. y = 2^x    2. y =…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: dy Y= x ²x-> メ =人

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Q: The derivative of f(z) = Log(2iz - 4+6i) at z = -3+i is

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Q: Use logarithmic differentiation to find the derivative of y with respect to x. y = ( In (3x))n (9×)…

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