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Popular >

derivative of f(x)= 1/(x^6)+1/(x^8)

Solution

derivative of

f (x) = \frac{1}{x ^{6}} + \frac{1}{x ^{8}}

Solution

- \frac{6}{x ^{7}} - \frac{8}{x ^{9}}

Solution steps

\frac{d}{d x} (\frac{1}{x ^{6}} + \frac{1}{x ^{8}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{1}{x ^{6}}) + \frac{d}{d x} (\frac{1}{x ^{8}})

\frac{d}{d x} (\frac{1}{x ^{6}}) = - \frac{6}{x ^{7}}

\frac{d}{d x} (\frac{1}{x ^{8}}) = - \frac{8}{x ^{9}}

= - \frac{6}{x ^{7}} - \frac{8}{x ^{9}}

Popular Examples

integral from-1 to 6 of (x+3)^3

\int_{- 1}^{6} (x + 3)^{3} d x

area sin(x),cos(x),[ pi/4 ,(5pi)/4 ]area

sin (x), cos (x), [\frac{π}{4}, \frac{5 π}{4}]

x^2y^{''}-3xy^'+13y=0

x^{2} y^{^{''}} - 3 x y^{^{'}} + 13 y = 0

integral of arccot(9y)

\int arccot (9 y) d y

integral of (12x^5)/(3+2x^6)

\int \frac{12 x ^{5}}{3 + 2 x ^{6}} d x

Frequently Asked Questions (FAQ)

What is the derivative of f(x)= 1/(x^6)+1/(x^8) ?
The derivative of f(x)= 1/(x^6)+1/(x^8) is -6/(x^7)-8/(x^9)
What is the first derivative of f(x)= 1/(x^6)+1/(x^8) ?
The first derivative of f(x)= 1/(x^6)+1/(x^8) is -6/(x^7)-8/(x^9)