Problem 50
A function \(f(x)\) is given. Find the \(x\) values where \(f^{\prime}(x)\) has a relative maximum or minimum. \(f(x)=\sec x\) on \((-3 \pi / 2,3 \pi / 2)\)
Problem 51
A function \(f(x)\) is given. Find the \(x\) values where \(f^{\prime}(x)\) has a relative maximum or minimum. \(f(x)=\frac{1}{x^{2}+1}\)
Problem 52
A function \(f(x)\) is given. Find the \(x\) values where \(f^{\prime}(x)\) has a relative maximum or minimum. \(f(x)=\frac{x}{x^{2}-1}\)
Problem 53
A function \(f(x)\) is given. Find the \(x\) values where \(f^{\prime}(x)\) has a relative maximum or minimum. \(f(x)=\sin x+\cos x\) on \((-\pi, \pi)\)
Problem 54
A function \(f(x)\) is given. Find the \(x\) values where \(f^{\prime}(x)\) has a relative maximum or minimum. \(f(x)=x^{2} e^{x}\)
Problem 55
A function \(f(x)\) is given. Find the \(x\) values where \(f^{\prime}(x)\) has a relative maximum or minimum. . \(f(x)=x^{2} \ln x\)
Problem 56
A function \(f(x)\) is given. Find the \(x\) values where \(f^{\prime}(x)\) has a relative maximum or minimum. \(f(x)=e^{-x^{2}}\)