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Derivatives quiz
Five questions on Derivatives. Answer all 5 to see your score.
Question 1 of 5
If f(x) = 1/x, what does the limit definition give for lim(h->0) [f(1 + h) - f(1)]/h?
Question 2 of 5
Differentiate f(x) = 4x^3 - 2e^x + 5cos x.
Question 3 of 5
Use the product rule together with the chain rule to differentiate f(x) = x^2 * sin(x^3).
Question 4 of 5
Use the quotient rule to differentiate f(x) = (x + 1)/(x - 3).
Question 5 of 5
The curve x^2 + y^2 = 25 is a circle. Using implicit differentiation, find dy/dx at the point (3, 4).