Calculate the derivative of the function y=√x5+√5x.

Q: Find the derivative of y = xV3x

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

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Q: Calculate the derivative of the function. 8x +5 s(x)= 2x - 6

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Q: calculate the derivative h(x) = π2(x − 1)

A: To calculate the derivative: h(x)=π2(x-1). Solution: h(x)=π2(x-1) On differentiating both sides with…

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

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Q: Calculate the derivative of the function y=3x−1x4.

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

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

A: To calculate the value of the derivative of the given function at x = 1.

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: Find the derivative of the function .

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

Q: compute the derivative. y = 4x−3/2

A: Solution: We have given that the function : y = 4x-3/2 If y = xn be any function then derivative of…

Q: Calculate the derivative. f (x) = x 2e2

A:

Q: Calculate the derivative of the function. бх + 2 s(x) 7x - 1 s'(x) =

A: We have to find derivative

Q: Find the derivative of y=x(6^(−2x))

A: Explanation of the answer is as follows

Q: Find the derivative of the function. g(x) = (sech(8x)) g'(x) = %3D

A: take derivative

Q: Find the derivative of the function.

A:

Q: Find the derivative of the function. +8x+3 10) y = %3D

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Q: Find the derivative of the function. f(x) = V5x + 4 f'(x) =

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Q: .Find the derivative of the function: y =x² +8sin .

A: To find the derivative of y.

Q: Calculate the derivative of y = √(X4 + 1).

A:

Q: Determine the second derivative of 6 y – xy²= 1 -

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Q: Find the derivative of the function y = (3x + 5)x

A: ddxln x=1x Product rule: (uv)'=u'v+uv'

Q: Find the derivative of the function. y=4xe^4x +4e^x^4

A: Given that y = 4xe4x + 4e x^4. Find derivative of this (dy/dx).

Q: Calculate the derivative of the function y=(2−x3)(13+x2).

A:

Q: *show work*

A: Given:

Q: Find the derivative. h(x) == 2* %3D

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Q: Find the derivative of the function.    y = x/√(x4 + 4)

A: The given function is , y=xx4+4 To find the derivative for the given function. Solution: The given…

Q: Find the derivative of y = xArcsinx + V1 – x².

A:

Q: Calculate the derivative of the function y=x(2+3x) without using the product rule.

A: Given function is y=x2+3x. Given function can be written as y=2x+3x2. Power rule of differentiation…

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.

A:

Q: Find the derivative of the function. (x + 1)(2x – 5) f(x) %3D 2x + 3

A:

Q: Find the derivative of y = (5x − 2)/(x2 + 1)

A: Given:           y=(5x−2)(x2+1)

Q: Calculate the derivative of the function. f(x) = V 9x + x2 f'(x) =

A: Solve by differentiating with respect to x

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 of: a) y=sec33x b) y=csc2(2x2)

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Q: Find the derivative of the function f(x) = x2 -8x +9 at the number a

A: The given equation is f(x)=x2-8x+9 The derivative of the function is the rate of the change in the…

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 = sech 5x2

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Q: Find the derivative of the function. Vs -6 f(s) = Vs +6

A: Quotient Rule

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 f(x) = x6x. %3D

A:

Q: Calculate the derivative of the cubic function y=x3.

A: ddxxn=n xn-1

Q: with positive exponents only

A:

Q: Find the derivative of the function y=4√x3.

A: Given expression:y=4x3 Simplify the above expression, y=4x312y=4x32 Now, differentiate the above…

Q: Find the derivative of the function y=(x+4)3 without using the power rule.

A: Given function is y=x+43. To find the derivative of the function without using the power rule.…

Q: Calculate the derivative of the function. f(x) = V7x + x2 f'(x) =

A: Explanation of the solution is given below...

Q: Find the derivative of f(x) : %3D

A: We need to differentiate the function f(x)=1x with respect to x. We also know that ddxxn=nxn-1.