Chain Rule with a Trigonometric Function

Critical Points of a Polynomial Function

Derivative Properties From A Table Of Values

Critical Numbers of a Rational Function

Derivative of an Inverse Function

Finding Critical Points of a Polynomial

Slope of a Tangent Line

For the function $$f(x)= \ln(x)$$ defined on the interval [1, e], the Mean Value Theorem guarantees a value c in (1, e) such that $$f'(c)= \frac{f(e)-f(1)}{e-1}$$. Given that $$f'(x)=\frac{1}{x}$$, solve for c.

Derivative of Inverse Trig and Power Function

Approximating Solutions with a Table

Evaluating a Trigonometric Limit

Vertical Asymptotes of a Rational Function

Evaluating a Special Exponential Limit

Continuity and Differentiability of a Piecewise Function

Intermediate Value Theorem From Table

Piecewise Function Continuity and Differentiability

Evaluating an Indeterminate Form Limit

Exponential Limit at Infinity

Removable Discontinuities of a Rational Function

Removable Discontinuity of a Rational Function