17. Sketch the following curve by using second derivative : X 1) y = 1 + x² 2) y = -x(x-7)² (ans.: max.(1,0.5); min.(-1,-0.5)) (ans.: max. (7,0); min.(2.3,-50.8))

Q: Calculate y" and y'''. y = 4t 3 - 9t 2 + 7

A: Given that  y = 4t3 - 9t2 + 7 We have to calculate y'' and y'''. First we find y'. y' = ddty     =…

Q: 3x+1 given y ニ X-2 a,use Q rule to find y' b. find the slope and equation of the tangent line at the…

A:

Q: Given that y = (2³ – 3) (z + 7). Find the derivative using the product rule and simplify your…

A: If we have a function , where u and v are the functions of x  . Then, by the use of the product…

Q: Parallel to x + 2y = 0; (1, 2) on line

A: To find the equation of line paralley to x+2y=0 and (1,2) is on the required line.

Q: (c) Find an equation of the tangent line to the graph of x2/3 + y2/3 = 5 at the point (1,8).

A: Given: The equation of the graph is  x23 + y23 = 5 To find: The equation of the tangent line to the…

Q: x2 Find the equation of the line tangent to y = ln| when x = 1. x + 1

A: Given that, y=lnx2x+1 we have to find equation of line tangent to y when x=1equation of line…

Q: 8. Find the equation of the horizontal tangent line to the curve y = -x + yx.

A: For horizontal  tangent line put the derivative  of function equals to zero

Q: Find the points on the curve y = 19x² closest to the point (0, 2). (0.395 2.973) and (-0.395, 2.973)

A: