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How do you find the derivative for #sqrt(2x^3 - 3x- 4)#?

Answer 1

Charles Arocha

#(6x^2-3)/(2sqrt(2x^3-3x-4))#

By using the chain rule

IF F(x)=f(g(x))

THEN F'(x)=f'(g(x))*g'(x)

#d/(dx) sqrt(2x^3-3x-4)=1/(2sqrt(2x^3-3x-4))times(6x^2-3)#

=#(6x^2-3)/(2sqrt(2x^3-3x-4))#

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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