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Popular >

d/(dt)(3t^3)

Solution

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

Solution

9 t^{2}

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

= 9 t^{2}

Popular Examples

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implicit (dy)/(dx),x^3+e^{(5xy)}-4y^3=10 implicit derivative

\frac{d y}{d x}, x^{3} + e^{(5 x y)} - 4 y^{3} = 10

integral of 6/(x^7)

\int \frac{6}{x ^{7}} d x

integral of cot(3-7x)

\int cot (3 - 7 x) d x

Frequently Asked Questions (FAQ)

What is the d/(dt)(3t^3) ?
The d/(dt)(3t^3) is 9t^2
What is the first d/(dt)(3t^3) ?
The first d/(dt)(3t^3) is 9t^2