y2 For function f (x, y) = x2+1

Q: F'irond, Che derivative: y

A: Given: y=6x+7x2-x+3 We know that ddxuv=vdudx-udvdxv2…

Q: Calculate R4 (right endpoints) and L4 (left endpoints) for f(x) = 8x2 + 2x + 1 on (0, 2]-

A:

Q: Let f(x)=-x2-3x+5. find f(3).

A: To find the function in the given value, replace the 3 in place of x to obtain the result.

Q: Let f(x) be the function f(x) 1. Find the following: x + 1 f(11) = f( – 10) | (4) 2 (-) f |

A: Given function is fx=xx+1-1. Put x=11 in the function. f11=1111+1-1=1112-1=-112 Therefore, f11=-112.

Q: If f(x) = 3 + 6x – 2x2, find f'(4).

A:

Q: Let f(x) = 3x + 15 ƒ-¹(x) =

A:

Q: = x 2

A:

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.