Question

G(x) = 1/x^10 g’(x)=

Answer 1

Differentiation - The value of g'(x) = $\frac{1}{10}x^{-9}$.

What is a differentiation?

Apart from integration, differentiation is among the two key ideas in calculus. A technique for determining a function's derivative is differentiation. Mathematicians use a process called differentiation to determine a function's instantaneous rate of change predicated on one of its variables. The most typical illustration is velocity, which is the rate at which a distance changes in relation to time. Finding an antiderivative is the opposite of differentiation. The rate of change of signal with respect to y has been given by dy/dx if x and y are two variables. The general representation of a function's derivative is given by the equation f'(x) = dy/dx, where y = f(x) is any function.

Given that,

G(x) = $\frac{1}{x^{10} }$

g’(x)=?

g’(x) is the derivative of g(x).

The derivative of $x^{n} = nx^(n-1)$

$x^{10} = 10x^(10-1)$

$x^{10}= 10x^9$

Then,

$\frac{1}{x^{10} }$ = $\frac{1}{10}x^{-9}$

Hence, The derivative of g(x) is $\frac{1}{x^{10} }$ = $\frac{1}{10}x^{-9}$.

To learn more about differentiation from the given link:
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