What is the derivative of bx^4 ?

The derivative of bx^4 is 4bx^3

What is the first derivative of bx^4 ?

The first derivative of bx^4 is 4bx^3

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derivative of

b x^{4}

4 b x^{3}

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

= 4 b x^{3}