Find the derivative of f(x)= (e^ax)*(cos(bx)) using chain rule
1 answer:
If

then by the product rule,

and by the chain rule,

which leaves us with

Alternatively, if you exclusively want to use the chain rule, you can carry out logarithmic differentiation:

By the chain rule, differentiating both sides with respect to <em>x</em> gives

Solve for <em>f'(x)</em> yields

just as before.
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