Calculate the value of the derivative of the function y=x2−12x2 at x=1.

Q: Find the derivative of the function. x-5 y = In x +5 %D

A: Differentiate wrt x

Q: find the derivative of the function  f(x) = e5x sec x

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Q: Find the derivative of the function. y = (lnx)        (x7)

A: Quotient rule of differentiation:If a function f(x) is a quotient of u and v where both u and v are…

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

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Q: Find the 4th-order derivative of the function y=xsinhx.

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

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Q: Find the derivative of function.

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

Q: What is the derivative of the function f(x) = e-2x?

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Q: Find the 1300th derivative of  f(x) = xe−x.

A: Given function is f(x)=xe-x       To caculate:- 1300thderivative of f(x)…

Q: Find the derivative of f(y)   f1(y) = ?

A: The given is: fy=6tany-y6-8y4y This function can be written as:…

Q: What is the derivative of y e2x –1

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Q: Find the derivative of the function. y = (ln x)4

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Q: Find the first derivative of the function Y = [(x – 1)(2x + 3)]?.

A: Let us see the expansion of (a + b - c)2 formula.(a + b - c)2 = (a + b - c)(a + b - c)(a + b - c)2 =…

Q: Find the derivative of the function.

A: Given y=lnx+1x-1

Q: Find the second derivative of the function y=x√1−x2.

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Q: What is the second derivative of f (x) = e²?

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Q: Find the nth-order derivative of the function y=(3x2−2x)lnx, x>0.

A: Use the product rule

Q: Find the derivative of f (x) = 9ª ln (x).

A: Given: f(x)=9xln(x)

Q: Find the derivative of the function. x + 6 X-6 y' = y = In

A: I have appended the formula used in the solution part of the question.

Q: Find the derivative of the function

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Q: Which is the second derivative of y=vx ? *

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Q: Find the first derivative of: x = t²e2t

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Q: Find the First Derivative of the Given Function: 2.) x=sec53t

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Q: Calculate the derivative of the function y=2√x+33√x.

A: Given function is y=2x+33x Power rule of differentiation states that: ddxxn=nxn-1 Differentiating…

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 y=1x+1√x+13√x.

A: Given:  y=x+x+13xDifferentiation formula:ddxxn=n.xn-1ddxx=1ddxc=0

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

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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: find the first derivative of   F(x) = e(x+5)

A: Given,

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

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Q: Find the derivative of the function y=(x−1)(x−2)(x−3) at x=0.

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

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Q: Find the derivative of the function. f(x) = ln(x2 + 3)

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Q: Find the second derivative of the function y = x In 2x.

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Q: Find the derivative of the function. f(x) = e In( Vx + 8 f'(x) =

A: Given, f(x) = ex ln(x+8) We have the formulas d(ex)/dx = ex                       ...........(1)…

Q: Find the derivative of the function. y = ln(x√x2 − 1 )

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Q: Find the derivative of the function: f(x)=ln[x^2÷(x+1)^3

A: Formula:

Q: Find the derivative of the function. f(x) = ln(4x)   f '(x) =

A: Given function

Q: Find the derivative of y with respect to x if y = (5x2 – 10x + 10) e - 6x y' =

A: We have to find the derivative of y with respect to x.

Q: Find the derivative of the function y = x2x+1

A: We have to find derivative of the function: y=x2x+1  In this situation we use logarithmic property…

Q: Find the derivative of the function. f(x) = ln x/(x2 + 1)

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Q: 1 Find the derivative of the function : ƒ(x ) = V |2x + 3

A: The given function is: f(x)=12x+3 Let, u=2x+3. So, f(u)=1u=u-12 and u=2x+3

Q: Find the derivative of f(x) = ln v4 – x2 %3D

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Q: Find the second derivative of the function f(x) = sec2x

A: Given: f(x)=sec2(x)

Q: What is the second derivative of * f(x) = e²?

A: We have to find second derivative of the function: fx=ex2 We know the formula of derivatives,…

Q: What is the derivative of the function B(x)=3/(x+2) at x=a?

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

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Q: Find the 1st derivative of the function: y = 4(Vx + 1)5

A: Given that: y=4(x+1)5

Q: Find the derivative of f(x) = 3/x ln(x), f' (æ) =

A: Chufu