What is the derivative of 5pix^2 ?

The derivative of 5pix^2 is 10pix

What is the first derivative of 5pix^2 ?

The first derivative of 5pix^2 is 10pix

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derivative of

5 π x^{2}

10 π x

Solution steps

\frac{d}{d x} (5 π x^{2})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 5 π \frac{d}{d x} (x^{2})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 5 π 2 x^{2 - 1}

Simplify

= 10 π x

\frac{\partial}{\partial x} (40 x^{\frac{3}{4}} y^{\frac{1}{4}})

y = x^{3}, x = - 1

f (x) = (x^{3} + 1) (x^{2} - 2), at x = 2

f (x) = (x - 4) (3 - x)^{3}, at x = 5

\int x^{2} (3 x + x^{- 3}) d x

What is the derivative of 5pix^2 ?
The derivative of 5pix^2 is 10pix
What is the first derivative of 5pix^2 ?
The first derivative of 5pix^2 is 10pix