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Chapter 2: Q 11. (page 238)
Find the derivatives of the function:
The derivative of
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Prove the difference rule in two ways
a) using definition of the derivative
b) using sum and constant multiple rules
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?
Use the definition of the derivative to find for each function in Exercises 34-59
On earth, A falling object has a downward acceleration of 32 feet per second per second due to gravity. Suppose an object falls from an initial height of ,With an initial velocity of feet per second, Use antiderivatives to show that the equations for the position and velocity of the object after t seconds are respectively and
State the chain rule for differentiating a composition of two functions expressed
(a) in 鈥減rime鈥� notation and
(b) in Leibniz notation.
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