Practice problem
Find the derivative of f(x)f(x)f(x). f(x)=(1x3−2x2)(4x4+3x)f(x)=\bigg(\frac1{x^3}-\frac2{x^2}\bigg)(4x^4+3x)f(x)=(x31−x22)(4x4+3x)
f′(x)=−9x4+12x3−48x+64f'(x)=-\frac{9}{x^4}+\frac{12}{x^3}-\frac{48}{x}+64f′(x)=−x49+x312−x48+64
f′(x)=14x2+2x2−8x+9f'(x)=\frac{14}{x^2}+2x^2-8x+9f′(x)=x214+2x2−8x+9
f′(x)=−6x3+6x2−16x+4f'(x)=-\frac{6}{x^3}+\frac{6}{x^2}-16x+4f′(x)=−x36+x26−16x+4
f′(x)=−5x3+6x2+x−12f'(x)=-5x^3+6x^2+x-12f′(x)=−5x3+6x2+x−12
Type a concept, like “slope” or “photosynthesis”.
