Differentiation and Intergration

f’(x) = f(x + h) - f(x) / h

From First principles

Differentiating sin and cos

If y = f(x)ⁿ → dy/dx = n(f(x)^n-1 x f’(x)

If y = e^f(x) → dy/dx = f’(x)e^f(x)

If y = ln(f(x)) → dy/dx = f’(x) / f(x)

If y = sin(f(x)) → dy/dx = f’(x)cos(f(x))

if y = cos(f(x)) → dy/dx = -f’(x)sin(f(x))

Chain Rule

Reverse chain rule