Limit with a Removable Discontinuity

Average Rate of Change on an Interval

Volume With Rectangular Cross Sections

Solving a Separable Differential Equation

Interpreting the Derivative in Context

Properties of the Natural Logarithm Function

Arctangent Function Chain Rule

Derivative of an Inverse Sine Function

Derivative of a Composite Function

Implicit Differentiation with Product Rule

Given the equation $$x^2+y^2=25$$, use implicit differentiation to find $$\frac{dy}{dx}$$.

Derivative of an Inverse Function

Chain Rule With Exponential and Trig Functions

Chain Rule with an Exponential Function

Implicit Differentiation

Chain Rule With a Radical Function

Derivative of the Inverse Sine Function

Find the derivative of $$y=\arctan(5*x^2)$$ with respect to $$x$$.

Suppose f is one-to-one and differentiable with $$f(x)=\tan(x)+x$$. Given that $$f(\pi/4)= 1+\frac{\pi}{4}$$, use the inverse function derivative formula to compute $$g'(1+\frac{\pi}{4})$$, where g = f⁻¹.

Derivative Using the Chain Rule