Let-p-and-Q-be-points-on-the-curve-y-x-2-2x-while-x-2-and-x-2-h-respectively-Epress-the-gradient-of-PQ-in-terms-of-h-

Question Number 129052 by oustmuchiya@gmail.com last updated on 12/Jan/21

L e t p a n d Q b e p o i n t s o n t h e c u r v e

y = x^{2} - 2 x w h i l e x = 2 a n d x = 2 + h

r e s p e c t i v e l y . E p r e s s t h e g r a d i e n t

o f P Q i n t e r m s o f h .

Commented by benjo_mathlover last updated on 12/Jan/21

P (2, 0); Q (2 + h, h^{2} + 2 h)

gradient of PQ = \frac{h^{2} + 2 h - 0}{2 + h - 2} = \frac{h^{2} + 2 h}{h} = h + 2