3.5 Derivatives of Trig Functions

When we "take the derivative" of a function what are we finding?

• What's a derivative?
• The rate at which our struggles in Calculus are increasing.
• The slope of the secant line
• The slope of the tangent line

Find the derivative.

• x⁴ cos(x) - 4x³ sin(x)

• x⁴ cos(x) + 4x³ sin(x)

• 4x³ cos(x)

• -4x³ cos(x)

Which of the following is the equation of the tangent line to the above equation.

• 
• 
• 
• 

Find the derivative of:

y = 3x² - 4 csc(x) + 2

• 6x + cot²(x) + 2

• 6x + 4 sin(x)

• 6x - 4 sec²(x)

• 6x + 4 csc(x) cot(x)

Find the derivative

 $f\left(x\right)=\frac{x^2}{\sin x}$  

•  $\frac{2x\sin x-x^2\cos x}{\sin^2x}$  

•  $\frac{2x\cos x-x^2\cos x}{\sin^2x}$  

•  $\frac{2x\sin x+x^2\cos x}{\sin^2x}$  

•  $\frac{2x\cos x-x^2\sin x}{\sin^2x}$