What is the derivative of (sqrt(7))/t ?

The derivative of (sqrt(7))/t is -(sqrt(7))/(t^2)

What is the first derivative of (sqrt(7))/t ?

The first derivative of (sqrt(7))/t is -(sqrt(7))/(t^2)

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derivative of

\frac{7}{t}

- \frac{7}{t ^{2}}

Solution steps

\frac{d}{d t} (\frac{7}{t})

Take the constant out:

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

= 7 \frac{d}{d t} (\frac{1}{t})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= 7 \frac{d}{d t} (t^{- 1})

Apply the Power Rule:

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

= 7 (- 1 \cdot t^{- 1 - 1})

Simplify

7 (- 1 \cdot t^{- 1 - 1}) : - \frac{7}{t ^{2}}

= - \frac{7}{t ^{2}}

\frac{1}{2} t^{2}

y = 2 x - 1, x = 2, x = 5, y = 0

\frac{d x}{d t} = e^{3 t + 2 x}

\frac{d}{d x} (- \frac{1}{3} ln (\frac{tan ( \frac{x}{2} ) - 3}{3}))

y^{^{''}} + 6 y^{^{'}} + 8 y = 130 cos (3 t)

What is the derivative of (sqrt(7))/t ?
The derivative of (sqrt(7))/t is -(sqrt(7))/(t^2)
What is the first derivative of (sqrt(7))/t ?
The first derivative of (sqrt(7))/t is -(sqrt(7))/(t^2)