Chapter 5: Problem 3
Evaluate the expression without using a calculator. \(\arcsin 0\)
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Chapter 5: Problem 3
Evaluate the expression without using a calculator. \(\arcsin 0\)
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Find the derivative of the function. \(g(x)=\frac{\arcsin 3 x}{x}\)
Using the Area of a Region Find the value of \(a\) such that the area bounded by \(y=e^{-x},\) the \(x\) -axis, \(x=-a,\) and \(x=a\) is \(\frac{8}{3} .\)
In Exercises 103–105, prove the differentiation formula. $$ \frac{d}{d x}[\cosh x]=\sinh x $$
Use a graphing utility to graph \(f(x)=\sin x\) and \(g(x)=\arcsin (\sin x)\). (a) Why isn't the graph of \(g\) the line \(y=x ?\) (b) Determine the extrema of \(g\)
(a) Graph the function \(f(x)=\arccos x+\arcsin x\) on the interval \([-1,1] .\) (b) Describe the graph of \(f\) . (c) Verify the result of part (b) analytically.
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