Definitions and Rules
Give a derivative notation.
f'(x), y', dy/dx
What is the power rule.
nxn-1
What is the quotient rule?
lo di hi - hi di lo all over lo^2
The derivative of secx
secxtanx
What is the limit definition of a derivative?
limh-0 f(x+h) - f(x) / h
Find the derivative.
4x2
8x
The derivative of (4x7)(x+1)
32x7+28x6
The derivative of e4x-5
e4x-5 (4)
Derivative of a constant.
What is 0.
Find the derivative.
1/x3
-3/x4
The derivative of 5x / (x-6)
-30 / (x-6)2
21(3x-9)6
What is the best way to remember the quotient rule?
lo di hi - hi di lo all over lo squared!
Find the derivative.
6x8-12x+19
48x7-12
The derivative of (9x2-4x+1)(6x3+3)
270x4-96x3+18x2+54x-12
The third derivative of 5x7+4x3-2x2
1050x4+24
What is a derivative.
The slope of the tangent line at a given point.
Find the derivative.
sqrt(x)
1 /2sqrt(x)
The derivative of (x-3)/(x3+7)
(-2x3+9x2+7)/ (x3+7)2
The derivative of cos(4x6)
-sin(4x6) (24x5)