a. Given that x? + y? = (2x² + 2y -x*)* Find an equation of tangent line to the curve at point (0, 1/2).

Q: d the equation to the tangent line to the curve y= 4 -r* where x=1.

A:

Q: 3. Find the equation of the tangent line to the graph of x²y? + 9xy = 162 at the point (-3, 6).

A:

Q: dy at(5, 4) for the following by implicit differentiation: dx x6 = 36 2. Find

A:

Q: Find an equation of the tangent line to the curve y = 5 – 2x – 3x² at (1,0). y =

A: We will find the equation of the tangent line to the curve at the given point as following.

Q: Find an equation of the tangent line to the curve y = 9" at the point (1, 10).

A:

Q: The equation of the tangent line to the curve x² + y² = 64, at (9,-14) is

A:

Q: Find the equation of the tangent line to the curve y=2x2-1 at x=2

A: .

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: