What is derivative of f(x)=(f(x))/(x^7) ?

The answer to derivative of f(x)=(f(x))/(x^7) is (df)/(dx)=-(7f)/(x(x^7-1))

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derivative of f(x)=(f(x))/(x^7)

derivative of

f (x) = \frac{f ( x )}{x ^{7}}

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

Solution steps

f = \frac{f}{x ^{7}}

Treat

f

f (x)

Differentiate both sides:

\frac{df}{d x} = \frac{x \frac{df}{d x} - 7 f}{x ^{8}}

Isolate

\frac{df}{d x} : \frac{df}{d x} = - \frac{7 f}{x ( x ^{7} - 1 )}

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

5 x^{3} + 2 x^{2} + 3

x \to \infty lim (co x (x))

f (x) = x^{2} + x - 3, at x = 4

\frac{\partial}{\partial s} (- 5 s^{2} t)

\int (- x^{2} y^{2} sin (x) + 2 x y^{2} cos (x)) d x

What is derivative of f(x)=(f(x))/(x^7) ?
The answer to derivative of f(x)=(f(x))/(x^7) is (df)/(dx)=-(7f)/(x(x^7-1))