Differentiation to find derivatives

Reference no: EM13827327

Use the product rule for differentiation to find derivatives in each of the following: I will understand your answer better if you use the formula we are using in school:

If f(x)=u(x) . v(x), and if u'(x) and v'(x) both exist, then f'(x) = u(x) . v' (x) + (v(x) . u' (x). The "dot" indicates (multiplication). Please help by showing steps. Thanks.

(a) f(x)=(x^2+2x+3)(x^3+3x^2+4x)

(b) f(x)=(sqrt x+2)(3x^2-2)

(c) f(x)=2 / x^2 + 1/ X + 3x) (3x-1) (this function should be understood as follows 2 over x squared plus 1 over x plus 3x. Times what's in the second group of parenthesis (3x squared negative 1).

Please contact me if you have any questions about the way the problems are written.

Reference no: EM13827327

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