What is the derivative of 7x^4 ?

The derivative of 7x^4 is 28x^3

What is the first derivative of 7x^4 ?

The first derivative of 7x^4 is 28x^3

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derivative of

7 x^{4}

28 x^{3}

Solution steps

\frac{d}{d x} (7 x^{4})

Take the constant out:

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

= 7 \frac{d}{d x} (x^{4})

Apply the Power Rule:

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

= 7 \cdot 4 x^{4 - 1}

Simplify

= 28 x^{3}

x, x, x = 0, x = 2

\frac{\partial}{\partial x} (cos^{2} (x))

\int (sin (x))^{3} (cos (x))^{2} d x

\frac{d}{d x} (ln (324 sin^{2} (x)))

\frac{d y}{d x} - 5 y = 8