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Popular >

d/(dt)(2t^4)

Solution

\frac{d}{d t} (2 t^{4})

Solution

8 t^{3}

Solution steps

\frac{d}{d t} (2 t^{4})

Take the constant out:

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

= 2 \frac{d}{d t} (t^{4})

Apply the Power Rule:

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

= 2 \cdot 4 t^{4 - 1}

Simplify

= 8 t^{3}

Popular Examples

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\frac{d}{d x} (\frac{1}{1 + e ^{- w x}})

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\int - \frac{2 cos ( x )}{sin ( x )} d x

limit as x approaches 5+of 6/(x-5)

x \to 5 + lim (\frac{6}{x - 5})

limit as x approaches 0 of x^3cos(6/x)

x \to 0 lim (x^{3} cos (\frac{6}{x}))

Frequently Asked Questions (FAQ)

What is the d/(dt)(2t^4) ?
The d/(dt)(2t^4) is 8t^3
What is the first d/(dt)(2t^4) ?
The first d/(dt)(2t^4) is 8t^3