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Question1: If y3+ xy2 = 1 find y ‘(x)
Question2: An object moves according to the equation s(t) = 4t ? 32t.
[A] The instantaneous rate of change at t = a is lim h → 0 (average rate of change over t = a to t = a+h) find the instantaneous rate of change of s(t) at t = 2. Show all work to receive full credit.[B] Calculate the average rate of change of s(t) over the interval t = a to t = a+h. Show all work to receive full credit.[C] Calculate the average rate of change of s(t) over the interval t = 2 to t = 2+h. Show all work to receive full credit.
The slope of the tangent line.
Solve the problem on percentages
Find the derivative using logarithmic differentiation
Find the sum or difference as a product of sines or cosines.
Identifying local maximum, local minimum.
Find the derivative of the function by using quotient rule.
The inflection points and global extrema.
Think of a mathematical function that represents something from your own life. For example, Assume the number of beers you drink depends on the number of football games you watch.
the indicated derivative
The slope of tangent line
Sketch the graph from information.
Law of sines.
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