Review practice
Choose a section to work through its questions and solutions. Your progress is shared across pages. Ranges follow collection order; original source labels are kept on each question.
Section 1 · Questions 1–6
Three chain-rule derivatives · Differentiate an inverse tangent and a logarithmic square root · +4 more
- Question 1 · Three chain-rule derivatives
- Question 2 · Differentiate an inverse tangent and a logarithmic square root
- Question 3 · Differentiate a square root of inverse cosine and a logarithmic radical
- Question 4 · Give single-fraction derivatives of a log radical and inverse tangent
- Question 5 · Use chain, logarithmic, product and quotient differentiation
- Question 6 · Differentiate a product with constant-e exponent and a variable power
Section 2 · Questions 7–12
Use a stated interval to choose the square-root sign · Differentiate an exponential of a trigonometric function implicitly · +4 more
- Question 7 · Use a stated interval to choose the square-root sign
- Question 8 · Differentiate an exponential of a trigonometric function implicitly
- Question 9 · Collect implicit derivative terms with a constant-base exponential
- Question 10 · Take logarithms of a positive variable power
- Question 11 · Logarithmically differentiate an implicit variable power
- Question 12 · Compare direct and logarithmic implicit differentiation
Section 3 · Question 13
Show the implicit slope of a trigonometric curve