Antiderivatives:
●Basic Formula- f’(x)=x^n
○f(x)=(1/n)x^n+1
●f’(x)=(n)(x^b-k)^n-1(der. of inside of parenthesis) → f’(x)=(x^5-2)^-½(5/2x^4)
○f(x)=(x^b-k)^n → f(x)=(x^5-2)^½
●f’(x)=e^nx(derivative of power, nx) → f’(x)=5e^5x
○f(x)=e^nx → f(x)=e^5x
■f’(x)=x^5 e^x^6 → f(x)=e^x^6
●f’(x)=(der. of denominator)/(x^n) OR 1/x → f’(x)=(4x^3+5)/(x^4+5x) OR f’(x)=1/x
○f(x)=ln(nx)=ln(denominator) → f(x)=ln(x^4+5x) OR f(x)=ln(x)
Derivatives:
●Basic Formula- f(x)=x^n
○f’(x)=(1/n)x^n-1
●f(x)=(x^b-k)^n → f(x)=(x^5-2)^½
○f’(x)=n(x^b-k)^n-1(der. of inside of parenthesis) → f’(x)=½(x^5-2)^-½(5x^4)
●f(x)=e^nx → f(x)=e^5x
○f’(x)=e^nx times (derivative of power, nx) → f’(x)=e^5x(5)
