Math exam 2

Derivative of ln(x)

1/x

Derivative of e^x

e^x

• numerator < denominator: The horizontal asymptote is

• y = 0.

• numerator = denominator: The horizontal asymptote is

• y = (leading coefficient of numerator)/(leading coefficient of denominator).

• numerator > denominator: horizontal asymptote is

Dose Not exist

if the question asks Find the slope of the line tangent to F(x) at the point (x, y) what do you do?

Find the derivative and solve for dy/dx then plug in the points

velocity of f(x) is

f ’(x)

Acceleration of f(x) is

f ‘‘ (x)

If there is a ladder question with the hight (h) the rate its moving (dx/dt) and the radius (x) what do you do?

Pathagraum theory, dx/dt + dy/dt =0 and x² + y² = h²

Area equation?

A= (π)r²

volume equation?

v= 4/3 ((π)r³)

Point Slope formula?

y-y1 = m(x-x1)