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

The derivative of f(t)= 7/(sqrt(t)) is -7/(2t^{3/2)}

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

The first derivative of f(t)= 7/(sqrt(t)) is -7/(2t^{3/2)}

Popular >

derivative of

f (t) = \frac{7}{t}

- \frac{7}{2 t ^{\frac{3}{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^{- \frac{1}{2}})

Apply the Power Rule:

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

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

Simplify

7 (- \frac{1}{2} t^{- \frac{1}{2} - 1}) : - \frac{7}{2 t ^{\frac{3}{2}}}

= - \frac{7}{2 t ^{\frac{3}{2}}}

y^{^{'}} + 3 x y^{3} = 0, y (0) = 1

(x + \frac{1}{x})^{5}

\frac{d y}{d x} = 2 x^{- 3}

x \to 2 lim (14 + x)

\frac{\partial}{\partial x} (e^{y} sin (x) y)

What is the derivative of f(t)= 7/(sqrt(t)) ?
The derivative of f(t)= 7/(sqrt(t)) is -7/(2t^{3/2)}
What is the first derivative of f(t)= 7/(sqrt(t)) ?
The first derivative of f(t)= 7/(sqrt(t)) is -7/(2t^{3/2)}