Derivatives

By: Meghan Vazquez

What is a Derivative?

Slope of a tangent line

How are Derivative linked to limits?

Using the limit definition you can find the slope of the tangent line to graph

Limit Definition

Lim h 0 f(x+h)-f(x)/ h

Power Rule

Multiply the coefficient that is raised to the power by the exponent and reduce the exponent by one

Chain Rule Derivatives

Work outside-in then subtract the derivative outside * derivative of the inside

Quotient Rule

B*T’ - B’*T/B^2

* HighDLow-LowDHigh/ LowLow

Product Rule

F*S’ + F’*S

Implicit Derivative

Derivative of y = DY/DXDerivative of x = DX/DX

Take derivative of y with respect to the derivative of x and isolate dy/dx then solve