What experience of differentiation have you got?
You need some experience with this to solve these types of questions.
Hi,
Q1. find equation of the tangent line and the normal line to the curve
y=(3x-2)e^-x at the point (0,-2).
Q2. Find derivative of cos(x+y) + y = 0
thanks,
moon
to Q1:
1, Use product and chain rule to calculate the first derivative ( )
2. Plug in x = 0 to get the slope of the tangent (m = 5)
3. Use point-slope-formula of the straight line to get the equation of the tangent (y+2=5(x-0) )
4. Calculate the negative reciprocal of m to get the slope of the normal to the curve in (0, -2): ( )
5. Use point-slope-formula to get the equation of the normal: ( )
6. Now it's your turn!