Problem 44
Find the \(x\) -values where the graph of the function has a horizontal tangent line. $$f(x)=\frac{x^{2}}{x+1}$$
Problem 45
Find the requested derivative. \(f(x)=x \sin x ;\) find \(f^{\prime \prime}(x)\).
Problem 46
Find the requested derivative. \(f(x)=x \sin x ;\) find \(f^{(4)}(x)\).
Problem 47
Find the requested derivative. \(f(x)=\csc x ;\) find \(f^{\prime \prime}(x)\).
Problem 48
Find the requested derivative. \(f(x)=\left(x^{3}-5 x+2\right)\left(x^{2}+x-7\right) ;\) find \(f^{(8)}(x)\).
