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Popular >

derivative of 6sqrt(t)-2/(sqrt(t))

Solution

derivative of

6 t - \frac{2}{t}

Solution

\frac{3}{t} + \frac{1}{t ^{\frac{3}{2}}}

Solution steps

\frac{d}{d t} (6 t - \frac{2}{t})

Apply the Sum/Difference Rule:

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

= \frac{d}{d t} (6 t) - \frac{d}{d t} (\frac{2}{t})

\frac{d}{d t} (6 t) = \frac{3}{t}

\frac{d}{d t} (\frac{2}{t}) = - \frac{1}{t ^{\frac{3}{2}}}

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

Simplify

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

Popular Examples

derivative of 1/3 x^3-1/2 x^2-6x

\frac{d}{d x} (\frac{1}{3} x^{3} - \frac{1}{2} x^{2} - 6 x)

inverse oflaplace (3s+17)/(s^2+s+1)inverse laplace

\frac{3 s + 17}{s ^{2} + s + 1}

integral of (x^2-7)^4(2x)

\int (x^{2} - 7)^{4} (2 x) d x

t^2y^{''}+19ty^'+106y=0

t^{2} y^{^{''}} + 19 t y^{^{'}} + 106 y = 0

limit as x approaches 0 of tan(1/x)

x \to 0 lim (tan (\frac{1}{x}))

Frequently Asked Questions (FAQ)

What is the derivative of 6sqrt(t)-2/(sqrt(t)) ?
The derivative of 6sqrt(t)-2/(sqrt(t)) is 3/(sqrt(t))+1/(t^{3/2)}
What is the first derivative of 6sqrt(t)-2/(sqrt(t)) ?
The first derivative of 6sqrt(t)-2/(sqrt(t)) is 3/(sqrt(t))+1/(t^{3/2)}