Find the derivative of the function f (x)=x-2r.

Q: Find the derivative of the function. f(x) = 4e* – x2 f'(x) =

A: Simply use the power law of derivative and also derivative of exponential .

Q: 2x f (x) = Vx+1

A:

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

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Q: Find the derivative of the function. f(x) = ex In(x³) f'(x) = X

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Q: Find the derivative of the function. f(x) = x3x f'(x) =

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

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Q: Find the derivative of the function. + 2 (x) = ex2. f'(x) %3D

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Q: Find the derivative of y=3x^x

A: Given,

Q: Find the derivative of the function. F(x) = /1 – 2x

A: Given, Fx=1-2x

Q: Calculate the derivative of the function.  f(x)= 1/9x-1 f'(x)=

A:

Q: Find the derivative of the function .

A: Given: f(x) = x -6x3 To find: The derivative of the given function.

Q: please show ALL your steps

A: we are given a function

Q: Calculate the derivative of the function. f(x) = (9x – 1)2 f'(x) =

A:

Q: Find the derivative of the function (x-2)2 | y = Vx2 +1' 2.

A: We use derivative of u/v=( v derivative of u - u derivative of v)/v2.

Q: Find the derivative of the function f(x) = x 9x

A: Some common derivatives are :ddxxn = n xn-1ddxax = ax.lnaddxf(x)g(x) = f(x)ddxg(x) +g(x)ddxf(x)

Q: Find the derivative of f(x) = 2e%.

A:

Q: Find the second derivative of the function.

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Find the derivative of the function f.

A:

Q: Find the derivative of the function. 8x f(x) = In f (x) =

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

A: The given function is f(x) = 4x Formula used ddx(ax)=axln(a)

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

A: Use power rule to solve this derivative. According to power rule the derivative of xn is,…

Q: Find the derivative of the function. f (x) = 1/ ( 1+ x 2  )

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

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Q: Find the derivative of f(x)=x^2

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

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Q: Find the derivative of the function.

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Q: Find the derivative of the function. y = 10'-x²

A: Derivative indicates rate of change. Use the chain rule: ddxf(g(x)=f'(g(x))g'(x) Use the formula:…

Q: Find the derivative of f (x) = 2e". f' (æ) =

A: Given function

Q: Find the derivative of the algebraic function.

A: Given function is fx=3x-1x. To find the derivative of the function. Solution: Power rule of…

Q: Find the derivative of the function. 2 + g(x)

A: We know that  ddxxn = n·xn-1

Q: Find the second derivative of the function.

A: Given: f(x)=x2+3xx-4 To find f''

Q: Find the derivative of f(x) = + x3.

A: Given  fx=ex2+x3 To find the derivative chain rule is used F'x=f'gxg'x and the other property used…

Q: find the derivative of the function f(x)=6x

A: We have to find the derivative of given function.

Q: Find the second derivative of the function.        f(x) = x/(x − 1)

A:

Q: Find the derivative of the algebraic function.

A: Given algebraic function fx=3x-1x. Differentiating the given function with respect to x,…

Q: Find the derivative of the function. x3 - 1 f(x) : x² +

A: dvu=udv-vduu2

Q: Find the derivative of the function. f(x) = X + 8

A: Here, we need to find the derivative of f(x)=xx3+8. So,          f'(x)=xx3+8' Apply the Quotient…

Q: Find the derivative of the function. y = x2e−x

A: Giveny=x2e−x

Q: Find the derivative of the function y=3√x+8x.

A: Given:y=3x+8x

Q: Find the derivative of the function f (x) = Vx /x – 6.

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Q: Find the derivative of the function. g(x) = ex5 - 2x g'(x) = %3D

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Q: Find the derivative of the function. y = x*V25 - x²

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Q: Find the second derivative of the function. f(x) x x-2 f"(x):

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Q: Find the derivative of (x+h)²+y²=r²

A: Here the equation is x+h2+y2=r2.

Q: Find the derivative of the function. y = x(x2 + 1)

A: Given y = x(x2 + 1)

Q: find the derivative of y = (x + 1) (x² + 3).

A: Given          y=(x2+1)x3+3

Q: Find the derivative of the function y = (x + 3)°(x + 2)².

A: Consider the given function y=x+35x+22.

Q: Find the derivative of the function. 8x - 1 f(x) f'(x) = %3!

A: Given function is     f(x) =8x-1x         We solve by using u/v rule d/dx(u/v) = {vdu/dx -…

Q: Find the derivative of the function. (2x

A: In the given question, the fundamental theorem of calculus is applied. The fundamental theorem of…