Evaluating Derivatives and Trigonometric Functions

Use the quotient rule

Apply the product rule

Ignore the constant coefficient completely

Directly solve for stationary points

2

x

2x

x^2

Ignoring the constant coefficient

Incorrectly applying the product rule

Struggling with algebraic manipulation

Using the wrong trigonometric identities

It simplifies the process of finding stationary points

It eliminates the need for differentiation

It provides exact solutions for integrals

It is only useful for trigonometric functions

cos(x)

-sin(x)

-cos(x)

tan(x)

Substitute the point into the original function

Substitute the point into the derivative

Use a calculator to find the exact value

Use the inverse trigonometric functions

1

√3/2

√2/2

1/2

-√3/2

-1

0

√3/2

To find the derivative

To eliminate square roots

To convert radians to degrees

To simplify the expression

1/2

√2/2

√3/2

3/2