What is the derivative of f(x)=(pix)^2 ?

The derivative of f(x)=(pix)^2 is 2pi^2x

What is the first derivative of f(x)=(pix)^2 ?

The first derivative of f(x)=(pix)^2 is 2pi^2x

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derivative of

f (x) = (π x)^{2}

2 π^{2} x

Solution steps

\frac{d}{d x} ((π x)^{2})

Simplify

(π x)^{2} : π^{2} x^{2}

= \frac{d}{d x} (π^{2} x^{2})

Take the constant out:

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

= π^{2} \frac{d}{d x} (x^{2})

Apply the Power Rule:

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

= π^{2} \cdot 2 x^{2 - 1}

Simplify

= 2 π^{2} x

y = e^{x} 2^{x}

y = 2 x^{2}, x = 2, y = 0

sec^{2} (t)

ln (x^{9})

\frac{d}{d x} (e^{x} + e^{x} \cdot x)

What is the derivative of f(x)=(pix)^2 ?
The derivative of f(x)=(pix)^2 is 2pi^2x
What is the first derivative of f(x)=(pix)^2 ?
The first derivative of f(x)=(pix)^2 is 2pi^2x