What is the derivative of 4x^7 ?

The derivative of 4x^7 is 28x^6

What is the first derivative of 4x^7 ?

The first derivative of 4x^7 is 28x^6

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derivative of

4 x^{7}

28 x^{6}

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

= 28 x^{6}

y = x^{2} + 3 x^{2} ln (x)

\int \frac{e ^{2 x} - 7}{e ^{2 x}} d x

\frac{7}{8 t ^{4}}

\frac{d}{d x} (x^{2} + c)

x \to 2 lim (\frac{2 + x}{2 - 4})