c. f(x,y) = -3x +4y – 10 at the point (4, –3), in the direction 30° clockwise from the negative x-axis.

Q: Determine the slope of the tangent to √1-x at the point (-8, 3).

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: Write the equation of a line tangent to the graph of f(x) = -2x³ + 5æ3 – 5x — — —1 3 at the point x…

A:

Q: Determine the equation, in y= mx + b form, of the line that is perpendicular to the slope of the…

A:

Q: Find the equation of the line which is tangent to the granh of y .3r2 2r + 4 at tho

A:

Q: Find all points on the graph of 3x2 + 6y² + 3xy = 64 where the tangent line is horizontal. y X.…

A:

Q: 3b. Find an equation of the tangent line to f(x)=2x+x-1 at the point Where x 1. %3D

A: The solution of the problem is given in the next step.

Q: does xy=4 describe y as a function of x?

A:

Q: 2. Given f(x) = x³ – 7x? + 16x - 10 find the location of all horizontal tangent lines.

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: