Chapter 3: Q1E (page 173)
Question 3–30: Differentiate.
11.
Derivative of the function is
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27-30: Find an equation of the tangent line to the curve at the given point.
30. \(y = \frac{{1 + \sin x}}{{\cos x}},\left( {\pi , - 1} \right)\)
(a) The curve \(y = \frac{1}{{1 + {x^2}}}\) is called a witch of Maria Agnesi. Find an equation of the tangent line to this curve at the point \(\left( { - 1,\frac{1}{2}} \right)\).
(b) Illustrate part (a) by graphing the curve and the tangent line on the same screen.
Find the derivative of the function.
20. \(A\left( r \right) = \sqrt r \cdot {e^{{r^2} + 1}}\)
Differentiate the function.
17. \(T\left( z \right) = {2^x}{\log _2}z\)
Differentiate the function.
21.\(y = \ln \left( {{e^{ - x}} + x{e^{ - x}}} \right)\)
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