Differentiate w.r.t. t
\frac{3}{16\sqrt[4]{t}}
Evaluate
\frac{t^{\frac{3}{4}}}{4}
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\frac{3}{4}\times \frac{1}{4}t^{\frac{3}{4}-1}
The derivative of ax^{n} is nax^{n-1}.
\frac{3}{16}t^{\frac{3}{4}-1}
Multiply \frac{3}{4} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator. Then reduce the fraction to lowest terms if possible.
\frac{3}{16}t^{-\frac{1}{4}}
Subtract 1 from \frac{3}{4}.
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