2(x? + y°)² = 25(x² – ) at the point (-3,-1). The slope of the lemniscate at the given point is

Q: Determine the slope of the curve y = x² + 2x at the point (-1, -3) on the curve.

A: We have to determine the slope of the given curve at the point .

Q: What is the slope of the graph of y = x2 at the point (3/4, 9/16 )?

A:

Q: Find the slope of the secant line to the function f(x)=4x²- 3x, through point P, where x= - 1, and…

A: To find the slope of secant line PQ to  the function f(x)

Q: Find the Slope at (2,1) given (10-x)y2 = x3

A: Given equation (10-x)y2=x3 Formula for slope at a point is slope= dy/dx  at that point

Q: Find the equation of the line tangent to the graph of y = 4x (x - 4x + 5) at the point (2,8). y =

A:

Q: Find the slope of the curve y = x3 + 8x +14, where the curve crosses the x-axis

A:

Q: Find the slope of the curve y = 2x3 - 3x2 - x +5 at (2,– 1)

A:

Q: Find the slope of the curve x2 + y3 = 2 at each point wherey = 1

A:

Q: Find the slope of the curve x3 = (y - x2)2 at (1,2).

A: Topic:- application of derivatives

Q: Write the equation for the curve that has slope of 2y/x for each point P(x,y) on it and passes…

A:

Q: Determine the slope of 3(x² +y´) = 100xy at the point (3,1)

A: The given function is 3x2+y2=100xy. Evaluate the slope dydx by implicit differentiation as follows.…

Q: Find the slope of the curve y = 8x – 3x2 at point (2, 4).

A: Explanation of the answer is as follows

Q: for y if y"= 8x – 3 and the slope i

A: Integration: y''=8x-3Integrating both sides we get,y'=8x22-3x+cy'=4x2-3x+c

Q: Find the slope of y = 1 – x3 at the point where y = 9.

A: