Solving a Rational Equation

Quotient Rule Using a Table

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

Intervals of Increase and Concavity

Points of Inflection from the Second Derivative

Evaluating a Definite Integral

Finding Absolute Extrema on a Closed Interval

Derivative Using The Quotient Rule

Evaluating a Special Exponential Limit

Evaluate $$\lim_{x \to \infty} \left(1 + \frac{1}{x}\right)^{x}$$.

Limit with Absolute Value

Limit of a Linear Function

Volume with Equilateral Triangle Cross Sections

Area Between Two Curves