What is the derivative of 3sqrt(x)-(11/(x^{12)}) ?

The derivative of 3sqrt(x)-(11/(x^{12)}) is (3(x^{25/2}+88))/(2x^{25/2)sqrt(x)}

What is the first derivative of 3sqrt(x)-(11/(x^{12)}) ?

The first derivative of 3sqrt(x)-(11/(x^{12)}) is (3(x^{25/2}+88))/(2x^{25/2)sqrt(x)}

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\frac{d}{d x} (3 x - \frac{11}{x ^{12}})

\frac{3 ( x ^{\frac{25}{2}} + 88 )}{2 x ^{\frac{25}{2}} x}

Solution steps

\frac{d}{d x} (3 x - \frac{11}{x ^{12}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 x) - \frac{d}{d x} (\frac{11}{x ^{12}})

\frac{d}{d x} (3 x) = \frac{3}{2 x}

\frac{d}{d x} (\frac{11}{x ^{12}}) = - \frac{132}{x ^{13}}

= \frac{3}{2 x} - (- \frac{132}{x ^{13}})

Simplify

\frac{3}{2 x} - (- \frac{132}{x ^{13}}) : \frac{3 ( x ^{\frac{25}{2}} + 88 )}{2 x ^{\frac{25}{2}} x}

= \frac{3 ( x ^{\frac{25}{2}} + 88 )}{2 x ^{\frac{25}{2}} x}

f (x) = 7 x - 6 x, (1, 1)

y^{^{'''}} - y^{^{''}} + y^{^{'}} - y = x

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

8 y^{^{'}} = 3 e^{\frac{x}{8}} + y

\frac{d}{d x} (\frac{8 x}{3 - cot ( x )})

What is the derivative of 3sqrt(x)-(11/(x^{12)}) ?
The derivative of 3sqrt(x)-(11/(x^{12)}) is (3(x^{25/2}+88))/(2x^{25/2)sqrt(x)}
What is the first derivative of 3sqrt(x)-(11/(x^{12)}) ?
The first derivative of 3sqrt(x)-(11/(x^{12)}) is (3(x^{25/2}+88))/(2x^{25/2)sqrt(x)}