find the value of a if the tangent to the curve of y=ax^2+2x has a slope for x=2

Answer 1

For y = ax² + 2x, the slope of the line tangent to the curve of y at x equals dy/dx or 2ax + 2.

Setting 2ax + 2 equal to 2 would give 2ax as 0 which forces a and/or x to go to 0.