Find the Slope of the tangent line I am having a problem with the instructions since another book solved the question in a odd way. Please look over my work and tell me if my answer is correct:
[Math] Find the Slope of the tangent line: y= x-x^3
calculus
Best Answer
Yes it is right. It seems that you do not know the concept of a derivative yet so, you will have to do a similar thing: $$\lim_{x\to 1}\frac{4x-x^2-3}{x-1}=\lim_{x\to 1}\frac{-(x-1)(x-3)}{x-1}=\lim_{x\to 1}-(x-3)=2$$