Question
FIND the first derivative of the following functions without necessarily using the first principle
i.) 1/x^3
ii.) x^1/3
iii.) Square root of x^3
iv.) 1/Square root of x
i.) 1/x^3
ii.) x^1/3
iii.) Square root of x^3
iv.) 1/Square root of x
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Answered by
GPT 3.5
i.) The first derivative of 1/x^3 is -3/x^4
ii.) The first derivative of x^(1/3) is (1/3)x^(-2/3)
iii.) The first derivative of √x^3 is (3/2)x^(1/2)
iv.) The first derivative of 1/√x is -1/(2√x)
ii.) The first derivative of x^(1/3) is (1/3)x^(-2/3)
iii.) The first derivative of √x^3 is (3/2)x^(1/2)
iv.) The first derivative of 1/√x is -1/(2√x)
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