UNIT 4 AP calculus

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The derivative of y=mx+b is:

The slope, or “m”

when d/dx(C)=0, C is:

c is a constant

The Power Rule

If F(x)=x^n, then f’(x)=nx^n-1

d/dx(b^x)=

b^(x)lnb

The Product Rule

d/dx [f(x)g(x)] = f’(x)g(x)+f(x)g’(x)

The Quotient Rule (low d high - high d low over low squared)

d/dx (f/g) = (gf’-fg’)/g²

d/dx (sinx) = 

cosx

d/dx (cosx) =

-sinx

d/dx (tanx) =

sec²x

d/dx (secx) = 

(secx)(tanx)

d/dx (cscx) =

(-cscx)(cotx)

d/dx (cotx) =

-csc²x

Chain Rule

d/dx[f(g(x))]=f’(g(x))g’(x)