Chapter 4.3, Problem 45E

How do some functions vary continuously?

determine a function by being given the function’s first derivative and an initial condition for the function. Discuss how you would determine an original function if you were given the second derivative of the function as well initial conditions on the first derivative and original function.

Find the derivative

Show all work, part (a), and (b). Thank you!

BO NUS 2. Are there points of inflection on the function fx) = 10x + 3. For the function fx) = x - 4x + 6, find the local extrema. Then, classify the local extrema using the second derivative test. BONUS

please show all your work

helpp

In Exercises 5–8, determine if the function is even or odd. 5. secant6. tangent 7. cosecant8. cotangent

Number 54, find an equation of the tangent line to the graph of the function at the given point