Question

Find g'​(t) for the function ​g(t) = 7/t^4

Answer 1

The differentiation of the function g(t) = 7/t⁴ will be equal to g¹(t)=-28/t⁵

What is differentiation?

The method of determining the derivative, or rate of change, of a function in mathematics.is termed as the differentiation.

Given that:-

$g(t)= \dfrac{7}{t^4}$

The derivative will be calculated as:-

$g'(t)=7 \dfrac{d}{dt}(t^{-4})\\\\\\g'(t)=7\times (-4t^{-5})\\\\\\g'(t)=\dfrac{-28}{t^5}$

Therefore the differentiation of the function g(t) = 7/t⁴ will be equal to g¹(t)=-28/t⁵

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