What is the derivative of y=(4x^7)/7 ?

The derivative of y=(4x^7)/7 is 4x^6

What is the first derivative of y=(4x^7)/7 ?

The first derivative of y=(4x^7)/7 is 4x^6

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derivative of

y = \frac{4 x ^{7}}{7}

4 x^{6}

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

\frac{4}{7} \cdot 7 x^{7 - 1} : 4 x^{6}

= 4 x^{6}

What is the derivative of y=(4x^7)/7 ?
The derivative of y=(4x^7)/7 is 4x^6
What is the first derivative of y=(4x^7)/7 ?
The first derivative of y=(4x^7)/7 is 4x^6