i hate calc

How to differentiate implicitly?

Dy/dx everything

What are the steps to “find an equation of tsngent line at x=“

2)find the y coordinate by plugging in (1) to x coordinate of original equation

3)find the slope by plugging in the coordinates for the dy/dx equation found prior to

4) create tangent line “y=m(x-x1)+y1

“Find y-values of each point of curve where tangent line is vertical”

1)set dy/dx numerator to 0

2) sub into original equation

When do we use implicit differientation

1) when y is already on ine side

2) there is no mixed y

D/dx[arcsinx] or cos

1/√(1-x²)

d/dx[arctanx] or cot

1/(1+x²)

d/dx[arcsecx] or csc

1/|x|√(x²-)

Derivative of a non base e (5^x)

A^x lna (5^x ln5)