Combining Rules with Trig/Exponential/Log Functions
10 tutor-authored questions for this Ontario curriculum expectation, ordered easiest to hardest — every one with a full worked solution. Work through them free, no account needed.
Sample: the first question, solved
Find the derivative of f(x)=eˣcos(x), using the product rule.
📘 Worked solution
✓The product rule gives f'(x)=eˣcos(x)+eˣ(−sin(x)), which factors to f'(x)=eˣ(cos(x)−sin(x)).
And one from the hard end
Find the derivative of f(x)=sin(x)/eˣ, using the quotient rule.
Solution shown after you try it in practice mode.
Work through all 10, easiest to hardest
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