Instantaneous Rate of Change

Examine the graph of the piecewise function defined above. Is f differentiable at $$x=2$$?

Limit Definition of a Derivative

Calculating the Slope of a Line

Differentiate the function $$f(x)= 4*x^3-5*x^2+2*x-8$$ using derivative rules.

The Power Rule for Derivatives

Average Rate of Change of a Logarithmic Function

Derivative Notation

Determine the derivative of $$\ln(x)$$ for $$x>0$$.

Limit Definition of the Derivative

Derivative of a Product at a Point

Derivative Using the Product Rule

Linear Function From Two Points

Intermediate Value Theorem Application

Identifying a Jump Discontinuity

Limit of a Continuous Quadratic Function

For the rational function $$g(x) = \frac{3*x^2+10}{2*x^2-7*x+5}$$, determine the horizontal asymptote as $$x \to \infty$$.

Intermediate Value Theorem Application Steps

Horizontal Asymptote Procedure

Limit with Exponential and Logarithmic Functions