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Questions and Answers
Which rule is used to find the derivative of a function that is the ratio of two differentiable functions?
Which rule is used to find the derivative of a function that is the ratio of two differentiable functions?
- Product rule
- Quotient rule (correct)
- Chain rule
- Reciprocal rule
What is the derivative of $\tan(x)$?
What is the derivative of $\tan(x)$?
- $\cos(x)$
- $\csc^2(x)$
- $\sec^2(x)$ (correct)
- $\sin(x)$
What is the derivative of $h(x) = \frac{e^x}{x^2}$?
What is the derivative of $h(x) = \frac{e^x}{x^2}$?
- $h'(x) = \frac{e^x}{x^2}$
- $h'(x) = \frac{e^x}{x^2} + \frac{2e^x}{x}$ (correct)
- $h'(x) = \frac{e^x}{2x}$
- $h'(x) = \frac{2e^x}{x}$
