Need some Calculus help?
I need to differentiate this. Can someone show me how but STEP BY STEP? And what rule do I use? Chain? Product? Both?
The function is (3x^2+7)(9x+sqrt(x))
I need to differentiate this. Can someone show me how but STEP BY STEP? And what rule do I use? Chain? Product? Both?
The function is (3x^2+7)(9x+sqrt(x))
Dave
Favorite Answer
First, you need to foil out everything in the parentheses.
f(x) = (3x^2+7)(9x+sqrt(x))
f(x) = 27x^3 + 3x^5/2 + 63x + 7x^1/2
Now you can take these derivatives by using the power rule.
f'(x) = 81x^2 + (15/2)x^(3/2) + 63 + (7/2)x^(-1/2)