1) Let f(x) be a continuous, everywhere differentiable function and g(x) be its derivative. If f(c)...

1) Let f(x) be a continuous, everywhere differentiable function and g(x) be its derivative. If f(c) = n and g(c) = d, write the equation of the tangent line at x = c using only the variables y, x, c, n, and d. You may use point-slope or slope-intercept but do not introduce more variables.

2) Let f(x) be a continuous, everywhere differentiable function. What kind information does f'(x) provide regarding f(x)?

3) Let f(x) be a continuous, everywhere differentiable function. What kind information does f''(x) provide regarding f(x)?

4) Let f(x) be a continuous, everywhere differentiable function. What kind information does f''(x) provide regarding f'(x)?

5) Let h(x) be a continuous function such that h(a) = m and h'(a) = 0. Is there enough evidence to conclude the point (a, m) must be a maximum or a minimum? Explain.

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milcah answered 1 year ago

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