You must be logged in to see worked solutions.

Already have an account? Log in here.

You don't need a calculator or computer to draw your graphs! Derivatives and other Calculus techniques give direct insights into the geometric behavior of curves.

The graph of \(y = f(x)\) is shown. On which intervals is \(f'(x) > 0?\)

You must be logged in to see worked solutions.

Already have an account? Log in here.

The graphs of \(y = g(x)\) and \(y = h(x)\) are shown above. Which is the derivative of the other?

You must be logged in to see worked solutions.

Already have an account? Log in here.

The graph of \(y = g'(x)\) (the derivative of \(g(x)!)\) is shown. At what value of \(x\) does \(g(x)\) obtain a local maximum?

You must be logged in to see worked solutions.

Already have an account? Log in here.

On what intervals is \(f(x) = x^3 - 12x\) increasing?

\(A = (-\infty, -2)\)

\(B = (-2, 2)\)

\(C = (2, \infty)\)

You must be logged in to see worked solutions.

Already have an account? Log in here.

A penguin is climbing up a long slippery slope, taking occasional breaks to slide back down for a bit. The penguin's vertical height (in meters) above a fixed point at time \(t\) minutes after starting is represented by \(f(t).\) Based on the information about \(f'(t)\) in the table below, at which of these times did the penguin's height reach a local minimum?

Interval | Sign of \(f'(t)\) |

\((0,1)\) | + |

\((1,2)\) | - |

\((2,3)\) | - |

\((3,4)\) | + |

You must be logged in to see worked solutions.

Already have an account? Log in here.

×

Problem Loading...

Note Loading...

Set Loading...