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let y=6x^-0.5+2x+1, find dy/dx.

dy/dx = -6(0.5)x^-1.5+2

= -3x^-1.5+2

RL

Answered by Rodger L. • Maths tutor

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The curve C has equation: (x-y)^2 = 6x +5y -4. Use Implicit differentiation to find dy/dx in terms of x and y. The point B with coordinates (4, 2) lies on C. The normal to C at B meets the x-axis at point A. Find the x-coordinate of A.

Line AB, with equation: 3x + 2y - 1 = 0, intersects line CD, with equation 4x - 6y -10 = 0. Find the point, P, where the two lines intersect.

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