Question

A: Use implicit differentiation to find the derivative dy/dx.
B; Find the slope of the curve at the given point.

cos(y)=x;(0,PI/2)

Answer 1

Please help me out, thanks :)

Answer 2

Cos(y)=x
-Sin(y) (dy/dx) = 1
dy/dx = -1/Sin(y)

Answer 3

But,
Cos(y)=x, so y = ArcCos(x), so

dy/dx = 1/Sin(ArcCos(x))

Answer 4

dx/dy=-siny
dy/dx=-1/siny

Answer 5

That's for part A.

Answer 6

m=-1/sinpi/2=-1

Answer 7

Part B:
x = 0, y = pi/2

dy/dx = -1/Sin(y)
dy/dx = -1/Sin(pi/2) = -1/1 = -1

Answer 8

slope is -1?

Answer 9

@bahrom7893 ?

Answer 10

yes

Answer 11

yes franky

Answer 12

Alright, thanks.