Determine all values of x for which the slope of the line tangent to y=x³ - 4x² +9x-1 is 5.

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: m = 4 and x-intercept of -2 in point-slope form

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 line y =   2.7x

A: Given  The line equation is  y =   2.7x .

Q: Find the slope of equation at the given point

A:

Q: Find the equation of the vertical line at an x coordinate of -3

A:

Q: Find the slope of line The x-axis

A: If you want to know slope of line parallel to x-axis then slope=tanθ=0 as we know θ is angle between…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.