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Popular >

d/(dt)(((3t^2))/2+t/4+21)

Solution

\frac{d}{d t} (\frac{( 3 t ^{2} )}{2} + \frac{t}{4} + 21)

Solution

3 t + \frac{1}{4}

Solution steps

\frac{d}{d t} (\frac{( 3 t ^{2} )}{2} + \frac{t}{4} + 21)

Apply the Sum/Difference Rule:

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

= \frac{d}{d t} (\frac{3 t ^{2}}{2}) + \frac{d}{d t} (\frac{t}{4}) + \frac{d}{d t} (21)

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

\frac{d}{d t} (\frac{t}{4}) = \frac{1}{4}

\frac{d}{d t} (21) = 0

= 3 t + \frac{1}{4} + 0

Simplify

= 3 t + \frac{1}{4}

Graph

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Frequently Asked Questions (FAQ)

What is the d/(dt)(((3t^2))/2+t/4+21) ?
The d/(dt)(((3t^2))/2+t/4+21) is 3t+1/4
What is the first d/(dt)(((3t^2))/2+t/4+21) ?
The first d/(dt)(((3t^2))/2+t/4+21) is 3t+1/4