AP Calc AB Derivatives Review

Mr blaha's flashcard facts on AB Calculus for unit 2, including derivatives of sine, cosine, e to the x, the product rule, the power rule, and other things that make me tired and hateful #fullofspite

Power Rule

Constant Rule

Constant Multiple Rule

Sum & Difference Rule

Product Rule

Quotient Rule

Chain Rule

\frac{d}{\differentialD x}\left(\sin x\right)

$$\cos\left(x\right)$$

\frac{d}{\differentialD x}\left(\cos x\right)

$$-\sin\left(x\right)$$

\frac{d}{\differentialD x}\left(\tan x\right)

$$\sec^2\left(x\right)$$

\frac{d}{\differentialD x}\left(\cot x\right)

$$-\csc^2\left(x\right)$$

\frac{d}{\differentialD x}\left(\sec x\right)

$$\sec x\tan x$$

\frac{d}{\differentialD x}\left(\csc x\right)

$$-\csc x\cot x$$

\frac{d}{\differentialD x}\left(e^{x}\right)

$$e^{x}$$

\frac{d}{\differentialD x}\left(e^{u}\right)

$$e^{u}\cdot u^{\prime}$$

\frac{d}{\differentialD x}\left(a^{x}\right)

$$a^{x}\ln\left(a\right)$$

\frac{d}{\differentialD x}\left(\ln x\right)

$$\frac{1}{x}$$

\frac{d}{\differentialD x}\left(\ln u\right)

$$\frac{u^{\prime}}{u}$$

\frac{d}{\differentialD x}\left(\arcsin x\right)

$$\frac{1}{\sqrt{1-x^2}}$$

\frac{d}{\differentialD x}\left(\arccos x\right)

$$\frac{-1}{\sqrt{1-x^2}}$$

\frac{d}{\differentialD x}\left(\arctan x\right)

$$\frac{1}{1+x^2}$$