calc u2

The equation for the tangent line is __.

y - y1 = f’(x1)(x - x_1)

The normal line is __ to the tangent line.

perpendicular

The slope of the normal line is __ of the slope of the tangent line.

opposite reciprocal

The derivative notation for a function y = f(x) is __.

dy/dx = f’(x)

When using implicit differentiation, treat y as __ of x.

a function

The first logarithm rule states that __.

ln(ab) = ln a + ln b

Logarithmic differentiation is used when or are messy.

powers; products

The Power Rule states that __.

d/dx[x^n] = n x^{n-1}

The Product Rule states that __.

(fg)’ = f’g + fg’

The Quotient Rule states that __.

(f/g)’ = (f’g - fg’)/g^2

To remember the steps for dy/dx in implicit differentiation, start by __ both sides term by term.

differentiating