Practice problem
Find the derivative of f(x)f(x)f(x). f(x)=x52x2+4x−7f(x)=\frac{x^5}{2x^2+4x-7}f(x)=2x2+4x−7x5
f′(x)=x4(3x+7)x3−5x2+11f'(x)=\frac{x^4(3x+7)}{x^3-5x^2+11}f′(x)=x3−5x2+11x4(3x+7)
f′(x)=−5x44x+4f'(x)=-\frac{5x^4}{4x+4}f′(x)=−4x+45x4
f′(x)=x4(6x2+16x−35)(2x2+4x−7)2f'(x)=\frac{x^4(6x^2+16x-35)}{(2x^2+4x-7)^2}f′(x)=(2x2+4x−7)2x4(6x2+16x−35)
f′(x)=x4(14x2+24x−35)(2x2+4x−7)2f'(x)=\frac{x^4(14x^2+24x-35)}{(2x^2+4x-7)^2}f′(x)=(2x2+4x−7)2x4(14x2+24x−35)
Type a concept, like “slope” or “photosynthesis”.
