Chapter 3.3, Problem 33E

5-

Explain the relationship between a function and the derivative by providing an example.

Please solve and show full work.

Sketch the graph of the function ? = x3-6x2+12. Using the ff. First derivatives (critical points) and second derivatives (point of inflection and concavity). X and Y intercept also.

Advanced calculus 1

In Exercises 47–58, say whether the function is even, odd, or neither.Give reasons for your answer.

Describe the two methods that help to differentiate the equations implicitly, and find the derivative? Explain with examples?

In Exercises 93-98, let f(x) = sin x, g(x) = cos x, and h(x) = 2x. Find the exact value of each expression. Do not use a calculator. 4 93. + fl 6 94. + 6. 6 17 95. (h º g) 3 97. the average rate of change of f from 37 X1 = to x2 = 2 98. the average rate of change of g from = Ix to x2 = T 4

By using r -software please for parts f and g