9. Derive the formula for the derivative of arctan x. Hint: Use implicit differentiation on y = arctanx, draw a right triangle with y as the angle.
Use implicit differentiation to find on sin (2y?) - 5x = 5 ey Enter your answer in the answer box.
2. Use implicit differentiation to find y' a. x – 2x²y + 3xy2 = 38
Question 7 * Use implicit differentiation to find of the following curve at the point (1, 29). y= x + sin xy b- Show that as, is zero in two differentiation steps only f(x,y) = xey?/« axay - Show that ox ay is zero in three differentiation steps only. f(x,y) = y² + y(sin x - **). z = -1 Question 8 Let w = z - sin(xy) where x = at y = ln(t) Find dw/dt by:- 4. Using...
QUESTION 7 Using implicit differentiation to find az ax for x2 + xy -sin(z)-0 y + COSZ-X Х COSZ-X y COS2-X y +Z sinz-X
1. Find on and using implicit differentiation w2 + w sin(xyz) = 1
dy Use implicit differentiation to find dx 2x²y + 9xy2 = 9 dy dx ||
(4 points) 8. Use partial derivatives to perform implicit differentiation to find dy if 5x® y2 + sin (z^y) = 2y4 + 3x, where y is a differentiable function of x.
Use implicit differentiation to find an equation of the tangent line to the graph of the equation at the given point. x2 + x arctan y = y -
Use implicit differentiation to find the slope of the tangent line to the curve 5x^3 y^2 - 4x^2 y = 1at the point (1,1) m=