Math Practice
Use the inverse trig derivatives, plus the chain and product rules where a problem needs them. Square the whole inside function, and remember the minus sign on arccos.
Differentiate
Differentiate
Constants ride along:
Differentiate
The derivative of
Differentiate
Differentiate
Differentiate
Differentiate
Product rule:
Differentiate
Differentiate
The outside is the square, the inside is
Differentiate
Differentiate
Find the slope of the tangent line to
Mathematics verification: Mathematical formulas, calculations, worked examples and solutions are reviewed for accuracy before publication. How we check our work
These problems follow the derivatives of inverse trig functions lesson. They start with the basic formulas and build up to the chain and product rules.
Type arcsin(x) or asin(x), arctan(x) or atan(x), and arccos(x) or acos(x). sin^-1(x) and tan^-1(x) also work. Type square roots as sqrt( ), for example 4/sqrt(1 - 16x^2).
No. Any expression equal to the correct derivative is accepted, so (1/2)/sqrt(1 - x^2/4) is marked correct for 1/sqrt(4 - x^2).