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Popular >

d/(dt)(5t^2)

Solution

\frac{d}{d t} (5 t^{2})

Solution

10 t

Solution steps

\frac{d}{d t} (5 t^{2})

Take the constant out:

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

= 5 \frac{d}{d t} (t^{2})

Apply the Power Rule:

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

= 5 \cdot 2 t^{2 - 1}

Simplify

= 10 t

Popular Examples

limit as x approaches 2pi-of csc(x)

x \to 2 π - lim (csc (x))

derivative of (1+2x^{10})

\frac{d}{d x} ((1 + 2 x)^{10})

(1 - x^{2}) y^{^{'}} = 2 y

integral from 0 to 3 of 1/(9+x^2)

\int_{0}^{3} \frac{1}{9 + x ^{2}} d x

tangent of x^2-tan(x)tangent of

x^{2} - tan (x)

Frequently Asked Questions (FAQ)

What is the d/(dt)(5t^2) ?
The d/(dt)(5t^2) is 10t
What is the first d/(dt)(5t^2) ?
The first d/(dt)(5t^2) is 10t