What is the first derivative of t^4 ?

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

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derivative of t^4

derivative of

t^{4}

4 t^{3}

Solution steps

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

Apply the Power Rule:

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

= 4 t^{4 - 1}

Simplify

= 4 t^{3}

x \to 0 + lim (\frac{1}{x ^{2}} - \frac{1}{x})

\int 2 cos (y^{2}) d y

e^{x + y} d x + e^{x - y} d y = 0

f (x) = \frac{x ^{2}}{x + 7}

f (x) = \frac{3 x ^{2}}{ln ( x )}