Chapter 2: Problem 22
Finding a Derivative In Exercises \(7-34,\) find the derivative of the function. $$ g(t)=\frac{1}{\sqrt{t^{2}-2}} $$
Chapter 2: Problem 22
Finding a Derivative In Exercises \(7-34,\) find the derivative of the function. $$ g(t)=\frac{1}{\sqrt{t^{2}-2}} $$
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Get started for freeLet \(f(x)=a_{1} \sin x+a_{2} \sin 2 x+\cdots+a_{n} \sin n x,\) where \(a_{1}, a_{2}, \ldots, a_{n}\) are real numbers and where \(n\) is a positive integer. Given that \(|f(x)| \leq|\sin x|\) for all real \(x,\) prove that \(\left|a_{1}+2 a_{2}+\cdots+n a_{n}\right| \leq 1\)
All edges of a cube are expanding at a rate of 6 centimeters per second. How fast is the volume changing when each edge is (a) 2 centimeters (b) 10 centimeters?
Horizontal Tangent Line In Exercises \(73-76\) , determine the point(s) at which the graph of the function has a horizontal tangent line. $$ f(x)=\frac{x^{2}}{x-1} $$
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