Second Derivative

Calculus Tutorial

Second Derivative

Intro

NOTATION FOR SECOND DERIVATIVE
Leibniz’s notation is d2y/dx2
Lagrange’s notation is f”

Sample Problem

Find the second derivative
y=5×3+3×2-4x+8

30x+6

Solution

y=5×3+3×2+-4x+8
dy/dx=5.3×2+3.2x-4.1+0 first derivative
= 15×2+6x-4

d2y/dx2=15.2x+6.1-0 second derivative
=30x+6



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