Chapter 2: Problem 21
Finding a Derivative In Exercises \(7-34,\) find the derivative of the function. $$ y=\frac{1}{\sqrt{3 x+5}} $$
Chapter 2: Problem 21
Finding a Derivative In Exercises \(7-34,\) find the derivative of the function. $$ y=\frac{1}{\sqrt{3 x+5}} $$
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Get started for freeFinding a Higher-Order Derivative In Exercises \(99-102\) find the given higher- order derivative. $$ f^{\prime}(x)=x^{2}, \quad f^{\prime \prime}(x) $$
Acceleration The velocity of an automobile starting from rest is $$ v(t)=\frac{100 t}{2 t+15} $$ where \(v\) is measured in feet per second. Find the acceleration at (a) 5 seconds, (b) 10 seconds, and (c) 20 seconds.
True or False? In Exercises \(129-134\) , determine whether the statement is true or false. If is false, explain why or give an example that shows it is false. If \(y=(x+1)(x+2)(x+3)(x+4),\) then \(\frac{d^{5} y}{d x^{5}}=0\)
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Determining Differentiability In Exercises 89 and \(90,\) determine whether the function is differentiable at \(x=2\) . $$ f(x)=\left\\{\begin{array}{ll}{x^{2}+1,} & {x \leq 2} \\ {4 x-3,} & {x>2}\end{array}\right. $$
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