Use the method of Example 4 to compute dy/dx p at P = (2, 1) on the curve y^2x^3 + y3^x^4 − 10x + y = 5.

1. A curve has the equation y=x³+8x²+5x. dy (i) Work out the coordinates of the two turning points. = 3x²+16x+5 dy dx о = 3x² + 16x +5 0 = (3x+1)(x+5) 3x+1=0 - x+5=0 *= -1 1= (-13)³ +8 (½3)² + 5 (-1/3) = - 22/27 (-1/3-22/27) y= (-5)³ +8 (-5)² + 5(-5) = 50 (-5.50) -ㅎ -22 -5 50 ) and ( -0.333-0.815 (................

d Find {1+ 2x + 3x*} dx Find the equation of the tangent to y = 1++ 2x + 3x4 at the point with x-coordinate 1.