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Popular >

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

Popular Examples

25y^{''}+60y^'+36y=0

25 y^{^{''}} + 60 y^{^{'}} + 36 y = 0

derivative of y=(x^2+7x-2)/(x-2)derivative of

y = \frac{x ^{2} + 7 x - 2}{x - 2}

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

\frac{d x}{d t} = 4 (x^{2} + 1), x (\frac{π}{4}) = 1

integral of tan^4(2x)

\int tan^{4} (2 x) d x

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

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

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