Topics of Differential Calculus

Topics of Differential Calculus

• Derivative: Definition, Properties, and Formulas
• Proofs of Derivative Formulas (by definition)
• Derivative implies continuity but the converse is not true
• Mod x is continuous at x=0 but not differentiable at x=0

More Derivative Problems:

Derivative of tanx: The derivative tanx is sec²x.

Derivative of e^2x: The derivative of e^2x is 2e^2x.

Derivative of root x: The derivative of square root of x is 1/(2√x).

Derivative of root logx: The derivative of $\sqrt{\log x}$ is

Derivative of root sinx: The derivative of $\sqrt{\sin x}$ is

Derivative of root cosx: The derivative of $\sqrt{\cos x}$ is

Derivative of root e^x: The derivative of $\sqrt{e^x}$ is

Derivative of root(x)+1/root(x): The derivative of $\sqrt{x}+\frac{1}{\sqrt{x}}$ is

Derivative of log3x: The derivative of log3x is 1/x.