The equation of a curve is y= 4x²+4lx+12-k, where kis a constant. In the case where k=1, find the equation of the tangent to the curve which is parallel to the x-axis.

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: A duck's flight is given by the following expression: y = x^2 + x + 4. X and y are coordinates of…

A:

Q: Find the equation of the line tangent to the graph of 2x³9x² + 2x 6 at x = 1. y = NOTE: Enter a…

A:

Q: Find an equation of the vertical line passing through the point (-3/4,-1/2)

A: Given Point (-3/4,-1/2)

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

A: Explanation of the answer is as follows

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

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.