Q5: Does any tangent to the curve y vx cross the x-axis at x--1 If so, find an equation for the line and the point of tangency? If not, why not?

Q: Find the equation for the curve in the xy-plane that passes through the point (1, -1) if its slope…

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Q: Determine the equation of the line tangent to the curve y = 3| : 3(x+4)² y = at the point (6,75).

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Q: Q3: Find equations of all lines having slope (-1) that are tangent to the curve y = 1/(1-x)

A: Determine the derivative for function y in terms of y and x. The derivative y' is equal to slope m.…

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

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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…

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Q: Find an equation for the line that is tangent to the curve y=x3 −9x at the point (3,0).

A: Given: The given curve is y=x3-9x and the point 3,0. To find: The main aim is to find the equation…

Q: Find the equation of the line tangent to the curve y = 4x² – 8x + 4 at the point(5, 64). -

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: What is the slope of the curve y= 2 over √x at the point (4,1)

A: To find the slope at a particular point x=a, the first derivative of the function is taken. Once the…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: