Definition of Derivative
Using the definition of the derivative, find the derivative for f(x)=2x2+4x.
f'(x)=4x+4
What is the derivative of f(x)=4x2?
f'(x)=8x
What is the derivative, in simplified form of
f(x)=(5x-3)(x2+4)
f'(x)=15x2-6x+20
What is the derivative in simplest form of f(x)=(x-1)/x?
f'(x)=1/x2
What is the line tangent at the point (-2,12) for f(x)=3x2?
y-12=-12(x+2)
What derivative are they trying to find for limh->0((x+h)2-x2)/h
x2
What is the derivative of f(x)=7x3+4x2-8x+4?
f'(x)=21x2+8x-8
What is the derivative of f(x)=xcos(x)
f'(x)=-xsin(x)+cos(x)
What is the derivative in simplest form of f(x)=(x3+2x)/(x-1)
f'(x)=(2x3-3x2-2)/(x-1)2
Given f'(x)=4x, what is the line tangent to f(x) at the point (2,8)
y-8=8(x-2)
Using the alternative form of the derivative. What is the slope of f(x)=3x2 at x=1
6
What is the derivative of f(x)=1/x2
f'(x)=-2/x3
What is the derivative of f(x)=(x7-1/x)(2x2-2) in simplest form.
f'(x)= 18x8-4x3+2
What is the derivative in simplest form for f(x)=(x1/2-2x)/(x3/2)
f'(x)=(-1+x1/2)/(x3)
What is the line tangent to the function f(x)=3x5-4x3 at x=1
y+1=3(x-1)
If given, limx->-2(x2-4)/(x+2). What are they asking you to find
The slope of x2 at x=-2
What is the derivative of f(x)=1/(2x6)
f'(x)=-3/x7
What is the derivative of f(x)=(x/x-1)(x2-2) in simplest form?
f'(x)=(2x3-3x2+3)/(x-1)2
What is the derivative in simplest form of f(x)=(x3-x2-3)/(x5+3)?
f'(x)=(-2x7+3x6+15x4+9x2-6x)/(x5+3)2
What is the tangent line to the function (x2-5x)(x3+2x) at x=2
y+72=-96(x-2)
Using the definition of the derivative. What is the derivative of f(x)=2x3+4x2-6x-4
f'(x)=6x2+8x-6
What is the derivative of the fifth root of x3
f'(x)=3/(5x2/5)
What is the derivative of f(x)= ((x-1)*(x2+2))*3x3 in simplest form?
f'(x)=18x5-15x4+24x3-18x2
What is the derivative in simplest form of f(x)=(x2/(x+1))/(x2-2)
f'(x)=(-x4-2x2-4x)/(x+1)2(x2-2)2
What is the line tangent to the function f(x)=(x+2)/(x-1) at x=2
y-4=-3(x-2)