Chapter 2: Q 29. (page 222)
Find the derivatives of the functions:
Short Answer
The required answer is.
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Chapter 2: Q 29. (page 222)
Find the derivatives of the functions:
The required answer is.
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For each function f that follows find all the x-values in the domain of f for which and all the values for which does not exist in later section we will call these values the critical points of f
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Use the definition of the derivative to find the equations of the lines described in Exercises 59-64.
The line tangent to the graph of at the point
Taking the limit: We have seen that if f is a smooth function, then This approximation should get better as h gets closer to zero. In fact, in the next section we will define the derivative in terms of such a limit.
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Use the limit just defined to calculate the exact slope of the tangent line toat
Prove the difference rule in two ways
a) using definition of the derivative
b) using sum and constant multiple rules
In the text we noted that if was a composition of three functions, then its derivative is . Write this rule in 鈥減rime鈥 notation.
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