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Popular >

d/(dt)(1/3 t^3+1/2 t^2)

Solution

\frac{d}{d t} (\frac{1}{3} t^{3} + \frac{1}{2} t^{2})

Solution

t^{2} + t

Solution steps

\frac{d}{d t} (\frac{1}{3} t^{3} + \frac{1}{2} t^{2})

Simplify

\frac{1}{3} t^{3} + \frac{1}{2} t^{2} : \frac{t ^{3}}{3} + \frac{t ^{2}}{2}

= \frac{d}{d t} (\frac{t ^{3}}{3} + \frac{t ^{2}}{2})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d t} (\frac{t ^{3}}{3}) + \frac{d}{d t} (\frac{t ^{2}}{2})

\frac{d}{d t} (\frac{t ^{3}}{3}) = t^{2}

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

= t^{2} + t

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\frac{d}{d x} (\frac{3}{3 x - 5})

integral of 1/((x+3)^2(x-4))

\int \frac{1}{( x + 3 ) ^{2} ( x - 4 )} d x

Frequently Asked Questions (FAQ)

What is the d/(dt)(1/3 t^3+1/2 t^2) ?
The d/(dt)(1/3 t^3+1/2 t^2) is t^2+t
What is the first d/(dt)(1/3 t^3+1/2 t^2) ?
The first d/(dt)(1/3 t^3+1/2 t^2) is t^2+t