Let $f(x)=x-\cos(x)$. Find all points on the graph of $y=f(x)$ where the tangent line has slope 1. (In each answer $n$ varies among all integers).
So far I've used the Sum derivative rule for which I have $1+\sin(x)$. So do I put in 1 in for $x$ for sin$(x)$.
Please Help!!
Best Answer
No, you would set the derivative $1+\sin x=1$. So, the answer would be all $x$ satisfying the equation $\sin x = 0$, which is $x=k\pi$, where $k$ is an integer.