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
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)

Related Questions

Find two functions that this could be the derivative of: y'=4x+7 Remember the derivative of any c... Let g: A -> B and f: B -> C be functions. Let f ∘ g be onto. Is both f and g necessarily onto? I... I have a question about derivative sketching. The second derivative test allows us to find a point o... Find the derivative function for the following functions using the first principles definition of th...