is decreasing. If \(f\) is a polynomial function, what is the least possible degree of \(f\text{?}\) Figure 3.2.2. The graph of \(\ds f^\prime(x)\) Sketch the graph of \(f(x)=3x^4-8x^3+10\text{,}\) ...

Find all intervals on which \(f\) is concave up and those on which \(f\) is concave down. Find the \((x,y)\) coordinates of all inflection points, if any. Sketch the graph of \(y=f(x)\) using all of ...

Serves as a first course in calculus. Functions, limits, continuity, derivatives, rules for differentiation of algebraic and transcendental function; chain rule, implicit differentiation, related rate ...