Formula Sheet:

x - y/y' sto x

Differentiation Rules:

Constant Rule: If y = Constant, then y’ = 0

Sum Rule: If y = f + g, then y’ = f’ + g’

Power Rule: If y = xn, then y’ = nxn-1

Product Rule: If y = f*g, then y’ = f’g +g’f

Quotient Rule: If y = f/g, then y’ = (gf’ – fg’)/g2

Chain Rule: If Y = f o g = f(g(x)), then Y’ = f’(g(x))*g’(x)

Area Formulas:

A = πr2

Pythagorean Theorem

X2+Y2=z2

Perimeter of Circle: P= 2pi R

Perimeter of Rectangle  P=2L+ 2W

Y = ax

Y’ = lna ax

Y=tanx

Y’=sec2x

Y=sin-1x

Y’=

Y=tan-1x

Y’=

 

slope of secant line: = ( f(x+h) - f(x) ) / h

 

Linear Approx: L(x)=f(a)+f’(a)(x-a)