Chapter 2: Q 23. (page 222)
Find the derivatives of the functions:
The required answer is.
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Use the definition of the derivative to find the equations of the lines described in Exercises 59-64.
The tangent line to at
Instead of choosing small values of h, we could have chosen values of z close to c. What limit involving z instead of h is equivalent to the one involving h?
For each function and interval localid="1648297458718" in Exercises localid="1648297462718" , use the Intermediate Value Theorem to argue that the function must have at least one real root on localid="1648297466951" . Then apply Newton’s method to approximate that root.
localid="1648297471865"
Use the definition of the derivative to find the equations of the lines described in Exercises 59-64.
The line that is perpendicular to the tangent line to at and also passes through the point
Find the derivatives of the functions in Exercises 21–46. Keep in mind that it may be convenient to do some preliminary algebra before differentiating.
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