Let P(a,b) be a point on the curve √√x+ √y = 1. Show that the slope of the tangent line V b at P is a

Q: Find the point (x,y) at which the graph of y=4x2 +4x-8 has a horizontal tangent line

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Q: Find an equation of the straight line having slope 1/6 that is tangent to the curve y=√x+5.

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Q: Find the points on the curve t² 16t+ 6, y X = = A. a horizontal tangent line B. a vertical tangent…

A: Given the curve is x=t2-16t+6  and y=t2+4t+3

Q: Let f(x) = x². Find the first coordinate of the intersection point of the two tangent lines of f at…

A: To find: The first coordinate of the intersection point of the two tangent lines of  at -2 and 7.

Q: (6) Let a be a positive real number. Consider the curve defined by r? + y² – ry = a². Find all…

A: Given curve is x2+y2−xy=a2. Differentiate x2+y2−xy=a2 with respect to x, we get…

Q: Find the coordinates of the points on the curve y= x' + 5x + 3 at which the tangent: makes an angle…

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Q: Find the tangent line of the curve (- 31,1-2)at the point (2,14)and estimate y0 so that (2.1,y0)is…

A: given curve is                                                                     x=t3-3ty=t4-2…

Q: b)y= 4 x-2 ,(6,1) c)f(x)=√√x+4,x=5

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Q: 6 5) Consider the function f(x)==-x² +2 x a) Find and sketch the tangent line to fat the point…

A: given function