2. What is the slope of the line tangent to the curve 8x3-y²=4 at the point (1,-2)? CAL normal line to the curve 2x3 +2y3-9xy = 2 at

Q: What is the slope of the line tangent line to the curve x²y = y2 – 6x when x=2?

A: The given curve is x2y=y2-6x. Substitute x=2 in the above equation and obtain that,…

Q: 3. Find the tangent lines and normal lines to the curve y = x4 - 4x3 + 6x2 – 4x + 3 with slope…

A:

Q: What is the slope of the line tangent to the curve x2 + y2 = 1 and parallel to the x=axis ?

A:

Q: What is the slope of the TANGENT LINE to the given curve 1 y = x + at point where x.= -2

A: Slope of tangent is    m=dydxdydx=1-1x2

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 equation of slope of tangent and the equation of slope of normal for y = -2x* + 5x° 4 2 3…

A: Given that y=-2x4+5x2-3 Take the derivative, y'=-8x3+10x The equation of the slope is,…

Q: 2. At which points on the curve y = 1+ 60x – 2x does the tangent line have the largest slope?

A: Solution ) y = 1+60x3- 2x5 First derivative with respect to  x y' =0+ 60 ×3 × x2 - 2×5 x4 y' = 180x2…

Q: Find the equation of the normal line to the curve y= 2x -x+4 at point when x=1.

A: The solution is given as

Q: Find the slope of the tangent line to the curve (a lemniscate) 2(a² + y?)' = 25 (æ² – y²) at the…

A: The given equation of the curve: 2x2+y22=25x2-y2

Q: Find the equation of the line tangent to the graph of f(x) = (In x)* at x= 5. ... (Type your answer…

A: