What is the derivative of-5w^{-7}+3sqrt(w) ?

The derivative of-5w^{-7}+3sqrt(w) is (70+3w^{15/2})/(2w^{15/2)sqrt(w)}

What is the first derivative of-5w^{-7}+3sqrt(w) ?

The first derivative of-5w^{-7}+3sqrt(w) is (70+3w^{15/2})/(2w^{15/2)sqrt(w)}

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derivative of

- 5 w^{- 7} + 3 w

\frac{70 + 3 w ^{\frac{15}{2}}}{2 w ^{\frac{15}{2}} w}

Solution steps

\frac{d}{d w} (- 5 w^{- 7} + 3 w)

Apply the Sum/Difference Rule:

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

= - \frac{d}{d w} (5 w^{- 7}) + \frac{d}{d w} (3 w)

\frac{d}{d w} (5 w^{- 7}) = - \frac{35}{w ^{8}}

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

= - (- \frac{35}{w ^{8}}) + \frac{3}{2 w}

Simplify

- (- \frac{35}{w ^{8}}) + \frac{3}{2 w} : \frac{70 + 3 w ^{\frac{15}{2}}}{2 w ^{\frac{15}{2}} w}

= \frac{70 + 3 w ^{\frac{15}{2}}}{2 w ^{\frac{15}{2}} w}

x \to 1 lim (\frac{x}{x - 1})

f (x) = (7 x^{2} + 6) (5 x + 8 + \frac{7}{x})

sin^{2} (y)

\int \frac{sin ^{3} ( x )}{1 - cos ( x )} d x

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

What is the derivative of-5w^{-7}+3sqrt(w) ?
The derivative of-5w^{-7}+3sqrt(w) is (70+3w^{15/2})/(2w^{15/2)sqrt(w)}
What is the first derivative of-5w^{-7}+3sqrt(w) ?
The first derivative of-5w^{-7}+3sqrt(w) is (70+3w^{15/2})/(2w^{15/2)sqrt(w)}