Saturday, January 31, 2015

`h(t) = sqrt(t)(1 - t^2)` Use the Product Rule to find the derivative of the function.

You need to
use the product rule to evaluate
the derivative of the function, such that:


`h'(t) = (sqrt
t)'(1 - t^2) + (sqrt t)(1 - t^2)'`

`h'(t)= (1 -
t^2)/(2
sqrt t) - 2t*sqrt t`

Hence, evaluating the
derivative
of the function, using the product rule, yields `h'(t)= (1 -
t^2)/(2 sqrt t) - 2t*sqrt t.`

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