Practice problem
Find the derivative of f(x)f(x)f(x). f(x)=(x+1)(x2+2)(x3+3)f(x)=(x+1)(x^2+2)(x^3+3)f(x)=(x+1)(x2+2)(x3+3)
f′(x)=6x3f'(x)=6x^3f′(x)=6x3
f′(x)=6x5+5x4+8x3+15x2+6x+6f'(x)=6x^5+5x^4+8x^3+15x^2+6x+6f′(x)=6x5+5x4+8x3+15x2+6x+6
f′(x)=x(3x4+5x3+6x2+6x+6)f'(x)=x(3x^4+5x^3+6x^2+6x+6)f′(x)=x(3x4+5x3+6x2+6x+6)
f′(x)=6x5+5x4+3x3+2x2+x+1f'(x)=6x^5+5x^4+3x^3+2x^2+x+1f′(x)=6x5+5x4+3x3+2x2+x+1
Type a concept, like “slope” or “photosynthesis”.
