Calculus - Mid-Chapter Assessment - Chapter 4 - Applications of Derivatives - 4-4-23

If f'\left(c\right)=0 and f''(c)<0, then f\left(c\right) is a local maximum

If f is differentiable and f'\left(c\right)>0 for every c in (a,b), then f is increasing on (a,b)

Which function does not satisfy the conditions of the Mean Value Theorem on the interval [-1,1]?

If m is a local minimum and M is a local maximum of a continuous function f on \left(a,b\right), then m<M

On what interval is the function g\left(x\right)=e^{x^3+6x^2+8} decreasing?

If f is a continous, decreasing function on [0,10] with a critical point at (4,2), which statement is false?

If f\left(0\right)=f'(0)=f''(0)=0, which statement is true?

Which function is an antiderivative of \frac{1}{\sqrt{x}}?

For what value of x does the functionf\left(x\right)=(x-2)(x-3)^2 have a relative maximum?

What are the x-coordinates of the points of inflection of the graph of y=x^5-5x^4+3x+7?

Which of the following functions has exactly two local extrema on its domain?

Which value is the absolute maximum of the function f\left(x\right)=4x-x^2+6 on the interval [0,4]?

If f\left(x\right)=\cos\left(x\right), the MVT guarantees that somewhere between 0 and \frac{\pi}{3}, f'\left(x\right)=?

If f''\left(c\right)=0, then (c,f\left(c)\right) is a point of inflection

If an even function f with domain all real numbers has a local maximum at x=a, then what is f\left(-a\right)?

True or False

How many critical points does the function f\left(x\right)=(x-2)^5(x+3)^4 have?

If f is differentiable and increasing on (a,b), then f'\left(c\right)>0 for every c in (a,b)