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: d the second derivative of the functi =) = [3x° +6}* a. f" = 90x*(6+3x)ʻ(24+90x°) b. f" = 90x*(6…

A: We have to choose the correct answer from the given options according to the given information

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A: To write an equation for the line in slope int form  passing through (4,8) and (7,3)

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A:

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A: given y=x5(2x2-3)we need to find the derivative of the given equation

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A: The solution of the problem is given in the next step.

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A: We need to find the slope and the equation of the tangent line tothe following curve:3. y=3x2+2 at…

Q: 8. y = (3x² + 7)² %3D

A:

Q: у%3 (2х + 1)?(4х — 1)2

A: y=2x+134x-12

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Q: Find an equation of the line tangent to the graph of y sin x – 3y = 4 at the point %3D (, 4) .

A: y2sinx - 3y = 4 at (π/2 , 4) we have to find slope of function 2ysinx(dy/dx) + y2cosx -3dy/dx = 4…

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A: equation of the curve  is given below...

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A: We have to find

Q: The point P(9, -3) lies on the curve y 3/(8 x) (a) If Q is the point (x, 3/(8 - x)), use your…

A: The given point P(9, –3) lies on the curve y = 3/(8 – x).Let Q (x, 3/(8 – x)) be the point on the…

Q: Find the point (a, b) on the graph of y = x² where the tangent line to the curve has a slope of -21.…

A:

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: The slope of the line normal to the curve ex- x³ + y2 =10 at the point (0, 3) is: A. -1/6 B. 1/6 C.…

A: Equation of curve,Point

Q: Q5) find the slope of tangent to the curve at the given points: y? + x? = y* - 2x at (-2, 1) and…

A: