Curve C has equation 4x^2- y^3 - 4xy +2^y = 0 , point P (-2, 4) lies on C, find dy/dx at the point P
Use implicit differentiation 1) 8x - 3y^2dy/dx - 4y - 4xdy/dx +2^y*ln2 * dy/dx = 0 You then sub in the points P (-2,4) 2) 8(-2) - 3(4)^2 *dy/dx - 4(4) - 4(-2) *dy/dx + 2^(4) *ln2 * dy/dx = 0 Rearrange to get dy/dx on the LHS3) dy/dx = 32 / (-40 + 16ln2)
FF
Related Maths A Level answers
All answers ▸The line l1 has equation 4y - 3x = 10. Line l2 passes through points (5, -1) and (-1, 8). Determine whether the lines l1 and l2 are parallel, perpendicular or neither.
Given that x = 4sin(2y + 6), Find dy/dx in terms of x
Use integration by parts to find the value of the indefinite integral (1/x^3)lnx ; integration with respect to dx
Given the function f(x)=ax^2+bx+c, we are given that it has x-intercepts at (0,0) and (8,0) and a tangent with slope=16 at the point x=2. Find the value of a,b, and c.