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3.1-3.3 (trigonometric (limx to 0 (sinx/x=1, (cosx-1)/x=0),…
3.1-3.3
trigonometric
limx to 0
sinx/x=1
(cosx-1)/x=0
d/dx(sinx)=cosx
d/dx(cosx)=-sinx
d/dx(tanx)=sec^2x
The chain rule
Derivatives of Polynomials and Exponential Function
power Functions
(d/dx )(x^n)=nx^(n-1)
(d/dx)[f(x)+g(x)]=(d/dx)f(x)+(d/dx)g(x)
(d/dx)[f(x)-g(x)]=(d/dx)f(x)-(d/dx)g(x)
d/dx)(cf(x))=c(d/dx)(f(x))
Exponential Function
(d/dx)b^x=In(b)*b^x
definition of number e: f(x)=e^t so f'(x)=e^t
Product rule