Chapter 2: Problem 21
In Exercises 3–24, use the rules of differentiation to find the derivative of the function. $$ y=x^{2}-\frac{1}{2} \cos x $$
Chapter 2: Problem 21
In Exercises 3–24, use the rules of differentiation to find the derivative of the function. $$ y=x^{2}-\frac{1}{2} \cos x $$
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Get started for freeFinding a Second Derivative In Exercises \(91-98\) , find the second derivative of the function. $$ f(x)=4 x^{3 / 2} $$
Finding a Higher-Order Derivative In Exercises \(99-102\) find the given higher- order derivative. $$ f^{\prime}(x)=x^{2}, \quad f^{\prime \prime}(x) $$
Let \(k\) be a fixed positive integer. The \(n\) hh derivative of \(\frac{1}{x^{k}-1}\) has the form \(\frac{P_{n}(x)}{\left(x^{k}-1\right)^{n+1}}\) where \(P_{n}(x)\) is a polynomial. Find \(P_{n}(1) .\)
Tangent Lines Find equations of the tangent lines to the graph of \(f(x)=x /(x-1)\) that pass through the point \((-1,5) .\) Then graph the function and the tangent lines.
Graphical Reasoning In Exercises \(81-84,\) use a graphing utility to graph the function and find the \(x\) -values at which \(f\) is differentiable. $$ f(x)=|x-5| $$
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