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Sketch the function y = -f(x).
a. Find the first and second derivatives of f and sketch their graphs.
b. There is a point on the graph of f where the first derivative has a value of 0.
Write down the x-coordinate of this point and state the gradient of at this point.
c. Does the sign of the gradient of f change as you move from left to right through this point?
d. State the value of at this point.
e. Describe the concavity of to the left and to the right of this point.
f. State the signs of to the left and to the right of this point on f.
Find the equation of the normal line to the curve at the point .
In order to find the equation of a normal line, first differentiate the given function to obtain the derivative function.
Differentiating with respect to yields
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