What is the derivative of 3t^4 ?

The derivative of 3t^4 is 12t^3

What is the first derivative of 3t^4 ?

The first derivative of 3t^4 is 12t^3

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derivative of

3 t^{4}

12 t^{3}

Solution steps

\frac{d}{d t} (3 t^{4})

Take the constant out:

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

= 3 \frac{d}{d t} (t^{4})

Apply the Power Rule:

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

= 3 \cdot 4 t^{4 - 1}

Simplify

= 12 t^{3}

\frac{d}{d x} ((2 x - 5) (3 - 2 x^{2}))

y = \frac{1}{x ^{2}}, (2, \frac{1}{4})

(t + 1)^{^{'}}

\int \frac{8}{x ( x + 2 )} d x

x \to 0 lim (\frac{sin ^{2} ( 5 x )}{x})