Calculus Derivatives: Derivatives of the Other Trigonometric Functions | 26-2

In this lesson we derive the derivatives of the remaining trigonometric functions using quotient and reciprocal rules.

We study:
\tan x=\frac{\sin x}{\cos x},
\qquad
\sec x=\frac1{\cos x},
\qquad
\cot x=\frac{\cos x}{\sin x},
\qquad
\csc x=\frac1{\sin x}.

The derivative formulas:
\frac{d}{dx}\tan x=\sec^2 x,
\frac{d}{dx}\sec x=\sec x\tan x,
\frac{d}{dx}\cot x=-\csc^2 x,
and
\frac{d}{dx}\csc x=-\csc x\cot x.

We also discuss exercises involving trigonometric limits at infinity.

Topics:
• Derivatives of tangent, secant, cotangent, and cosecant
• Quotient rule
• Reciprocal functions
• Trigonometric identities
• Trigonometric limits
• Differentiation techniques

Full lecture notes:
youtube-derivative.pdf
https://taylansengul.github.io/home/files/youtube-derivative.pdf

Видео Calculus Derivatives: Derivatives of the Other Trigonometric Functions | 26-2 канала Taylan Şengül