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Popular >

derivative of 4t^{-3/8}

Solution

derivative of

4 t^{- \frac{3}{8}}

Solution

- \frac{3}{2 t ^{\frac{11}{8}}}

Solution steps

\frac{d}{d t} (4 t^{- \frac{3}{8}})

Take the constant out:

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

= 4 \frac{d}{d t} (t^{- \frac{3}{8}})

Apply the Power Rule:

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

= 4 (- \frac{3}{8} t^{- \frac{3}{8} - 1})

Simplify

4 (- \frac{3}{8} t^{- \frac{3}{8} - 1}) : - \frac{3}{2 t ^{\frac{11}{8}}}

= - \frac{3}{2 t ^{\frac{11}{8}}}

Popular Examples

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\int \frac{( x + 7 ) ^{7}}{2 x} d x

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

derivative of sin^{-2}(x^2+x)

\frac{d}{d x} (sin^{- 2} (x^{2} + x))

integral of 3e^{5x}-3cos(4x)

\int 3 e^{5 x} - 3 cos (4 x) d x

limit as x approaches 0 of-(ln(x))

x \to 0 lim (- (ln (x)))

Frequently Asked Questions (FAQ)

What is the derivative of 4t^{-3/8} ?
The derivative of 4t^{-3/8} is -3/(2t^{11/8)}
What is the first derivative of 4t^{-3/8} ?
The first derivative of 4t^{-3/8} is -3/(2t^{11/8)}