What is the derivative of tsqrt(t) ?

The derivative of tsqrt(t) is (3sqrt(t))/2

What is the first derivative of tsqrt(t) ?

The first derivative of tsqrt(t) is (3sqrt(t))/2

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derivative of

t t

\frac{3 t}{2}

Solution steps

\frac{d}{d t} (t t)

Simplify

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

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

Apply the Power Rule:

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

= \frac{3}{2} t^{\frac{3}{2} - 1}

Simplify

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

= \frac{3 t}{2}

\int_{- \infty}^{0} \frac{z}{z ^{4} + 9} d z

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\int_{0}^{1} \frac{1}{x ( x + 2 )} d x

\frac{d}{d x} (\frac{e ^{x}}{x ^{5}})

\frac{d}{d x} ((1 - \frac{x}{7})^{- 7})

What is the derivative of tsqrt(t) ?
The derivative of tsqrt(t) is (3sqrt(t))/2
What is the first derivative of tsqrt(t) ?
The first derivative of tsqrt(t) is (3sqrt(t))/2