What is the derivative of f(x)= 1/4 x^4 ?

The derivative of f(x)= 1/4 x^4 is x^3

What is the first derivative of f(x)= 1/4 x^4 ?

The first derivative of f(x)= 1/4 x^4 is x^3

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derivative of

f (x) = \frac{1}{4} x^{4}

x^{3}

Solution steps

\frac{d}{d x} (\frac{1}{4} x^{4})

Take the constant out:

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

= \frac{1}{4} \frac{d}{d x} (x^{4})

Apply the Power Rule:

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

= \frac{1}{4} \cdot 4 x^{4 - 1}

Simplify

\frac{1}{4} \cdot 4 x^{4 - 1} : x^{3}

= x^{3}

\frac{\partial}{\partial x} (e^{- x} sin (y))

\frac{\partial}{\partial x} (6 y^{8} x^{5} + 49 y x^{6})

y^{^{'}} = 8 + 2 x - 3 x^{2}

arcsec (x)

\frac{d}{d x} (2 x^{3} - 3 x^{2} - 12 x)

What is the derivative of f(x)= 1/4 x^4 ?
The derivative of f(x)= 1/4 x^4 is x^3
What is the first derivative of f(x)= 1/4 x^4 ?
The first derivative of f(x)= 1/4 x^4 is x^3