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Popular >

derivative of 7x^{-6}-5x^{-3}

Solution

\frac{d}{d x} (7 x^{- 6} - 5 x^{- 3})

Solution

- \frac{42}{x ^{7}} + \frac{15}{x ^{4}}

Solution steps

\frac{d}{d x} (7 x^{- 6} - 5 x^{- 3})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (7 x^{- 6}) - \frac{d}{d x} (5 x^{- 3})

\frac{d}{d x} (7 x^{- 6}) = - \frac{42}{x ^{7}}

\frac{d}{d x} (5 x^{- 3}) = - \frac{15}{x ^{4}}

= - \frac{42}{x ^{7}} - (- \frac{15}{x ^{4}})

Simplify

= - \frac{42}{x ^{7}} + \frac{15}{x ^{4}}

Popular Examples

integral of cot^7(x)csc^2(x)

\int cot^{7} (x) csc^{2} (x) d x

derivative of y=-10 derivative of

y = - 10

\frac{d}{d y} (x^{2 y})

integral of 12-(16-2\sqrt[3]{96-8x})

36y^{''}+36y^'+11y=0,y(0)=6,y^'(0)=5

36 y^{^{''}} + 36 y^{^{'}} + 11 y = 0, y (0) = 6, y^{^{'}} (0) = 5

Frequently Asked Questions (FAQ)

What is the derivative of 7x^{-6}-5x^{-3} ?
The derivative of 7x^{-6}-5x^{-3} is -(42)/(x^7)+(15)/(x^4)
What is the first derivative of 7x^{-6}-5x^{-3} ?
The first derivative of 7x^{-6}-5x^{-3} is -(42)/(x^7)+(15)/(x^4)