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Popular Calculus >

d/(dt)(1/2 t^2)

Solution

\frac{d}{d t} (\frac{1}{2} t^{2})

Solution

t

Solution steps

\frac{d}{d t} (\frac{1}{2} t^{2})

Take the constant out:

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

= \frac{1}{2} \frac{d}{d t} (t^{2})

Apply the Power Rule:

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

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

Simplify

\frac{1}{2} \cdot 2 t^{2 - 1} : t

= t

Graph

Popular Examples

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(dx)/(dt)=4(x^2+1),x(pi/4)=1

integral of tan^4(2x)

t^5y^4-t^3y^'+6y=0

y^'=(3(e^x+1))/(2y)

Frequently Asked Questions (FAQ)

What is the d/(dt)(1/2 t^2) ?
The d/(dt)(1/2 t^2) is t
What is the first d/(dt)(1/2 t^2) ?
The first d/(dt)(1/2 t^2) is t