What is the derivative of sqrt(5t)+(sqrt(7))/t ?

The derivative of sqrt(5t)+(sqrt(7))/t is (sqrt(5)t^{3/2}-2sqrt(7))/(2t^{3/2)sqrt(t)}

What is the first derivative of sqrt(5t)+(sqrt(7))/t ?

The first derivative of sqrt(5t)+(sqrt(7))/t is (sqrt(5)t^{3/2}-2sqrt(7))/(2t^{3/2)sqrt(t)}

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derivative of

5 t + \frac{7}{t}

\frac{5 t ^{\frac{3}{2}} - 2 7}{2 t ^{\frac{3}{2}} t}

Solution steps

\frac{d}{d t} (5 t + \frac{7}{t})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d t} (5 t) + \frac{d}{d t} (\frac{7}{t})

\frac{d}{d t} (5 t) = \frac{5}{2 t}

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

= \frac{5}{2 t} - \frac{7}{t ^{2}}

Simplify

\frac{5}{2 t} - \frac{7}{t ^{2}} : \frac{5 t ^{\frac{3}{2}} - 2 7}{2 t ^{\frac{3}{2}} t}

= \frac{5 t ^{\frac{3}{2}} - 2 7}{2 t ^{\frac{3}{2}} t}

\int \frac{1}{3 ^{- x}} d x

\int cos (5 x + 7) d x

f (x) = \frac{x ^{2} - 2}{x ^{2} + 2}

\frac{\partial}{\partial x} ((x + y) ln (\frac{x}{y}))

\int_{0}^{1} \frac{47}{4 y - 1} d y

What is the derivative of sqrt(5t)+(sqrt(7))/t ?
The derivative of sqrt(5t)+(sqrt(7))/t is (sqrt(5)t^{3/2}-2sqrt(7))/(2t^{3/2)sqrt(t)}
What is the first derivative of sqrt(5t)+(sqrt(7))/t ?
The first derivative of sqrt(5t)+(sqrt(7))/t is (sqrt(5)t^{3/2}-2sqrt(7))/(2t^{3/2)sqrt(t)}