Math Practice
Use the six trig derivatives, plus the product, quotient and chain rules where a problem needs them. Remember that the derivatives of cos, cot and csc are negative.
Differentiate
Differentiate
Differentiate
Differentiate
Product rule:
Differentiate
Chain rule:
Differentiate
Differentiate
Differentiate
Product rule:
Differentiate
Differentiate
Chain rule with the cube outside:
Find the slope of the tangent line to
Find the 50th derivative of
The derivatives of
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 trig functions lesson. They start with the six basic rules and build up to products, quotients, the chain rule and higher derivatives.
Type sec(x)^2 or sec^2(x) for sec squared, and csc( ) and cot( ) for cosecant and cotangent. Put * between factors if a term could be ambiguous, such as 2x*cos(x) - x^2*sin(x).
Only where a problem asks. Any expression equal to the correct derivative is accepted, so cos(2x) is marked correct for cos(x)^2 - sin(x)^2.