Cracking The Ap Calculus ab Exam 2018

Next, rewrite this as

Next, use some of the trigonometric limits that you memorized back in Chapter 3. Specifically,

This gives you

    +       =   sin x(0)    +   cos x(1)    cos x

    sin x   =   cos x

Example 1: Find the derivative of sin .

Use some of the rules of trigonometry you remember from last year. Because

sin     =   cos x   and cos     =   sin x,

you can substitute into the above expression and get

    cos x   =   −   sin x

Now, let’s derive the derivatives of the other four trigonometric functions.