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OLga [1]
2 years ago
5

G(x) = 1/x^10 g’(x)=

Mathematics
1 answer:
PSYCHO15rus [73]2 years ago
6 0

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

<h3>
What is a differentiation?</h3>

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:
brainly.com/question/954654
#SPJ13

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