Consider the function f(x) = 12x' + 60x 100x + 6. f(z) has inflection points at (reading from left to right) x = D, E, and F

Q: Let f(x) = 4x + 1 f¹(x)

A: Given query is to find the inverse of the function.

Q: Simplified form of F=y +xy+y x z is

A: Simply : F=y+x y+y x z

Q: Consider the function y = (1x + 1)x. (a) Differentiate y by the product rule. (b) First, multiply…

A: (a) Differentiate y by the product rule as follows: dydx=ddxx+1x      =ddxx+1x+ddxxx+1      =1·…

Q: h(w) = -9w-8 +16/w

A:

Q: f(x) = Vx+9– 10.

A: We can solve the given problem using concept of function.

Q: Let f be the function given by f (x) = 2x³ + x² - 3. What is the value of f' (2) ? A B 56 28 25

A:

Q: Find the intersection  point of f (y) with x-axis.

A: Given the function f(y) .We need to find the point of intersection of f(y) with x-axis.

Q: The domain of the function f(x)=√12+4x−x^2 is the closed interval [A,B] where A= and B=

A: Domain is the set of all values that can be taken by x so that the equation is defined.

Q: Differentiate the function f(x) = In(6x7 – 4x) + v2 – e3x. - -

A:

Q: Consider the function y = f(x) = 4x2+2x+7. Using only the table method, estimate f ′(2)

A: estimate  f'(2) =18

Q: Let f(x) = 9x + 12 ƒ-¹(x) =

A: Solution:

Q: Explain why f(x)=sinx is an odd function.

A: We have to explain the given function is odd function: fx=sin x We know for odd function it must be…

Q: What does is mean for two functions f(x) and g(x) to be orthogonal

A:

Q: 144y+312y+ 169y= 0. y(0) = 6. (0) = 6. %3D %3D

A: Let the given differential equation be, 144y''+312y'+169y=0 Assume the solution of the differential…

Q: Consider the function f(x) = Ax³ + Bx² + 5x. Find the values of A and B if f'(-2) = -3 and f" (-2) =…

A: f(x)=Ax3+Bx2+5x

Q: R(w) = w? 8w + 20

A: Derivatives are one of  the fundamental tools of the calculus. In mathematics, derivatives are the…

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: I need to find f"(x) when f(x)= (x2+10)6

A:

Q: Let f(x) = 9x +3 f f '(x) =

A: Given a function. We need to find its inverse.

Q: Let f(x) = 7+ /6x – 8. Find f(x). f (2). f (x) =

A: For finding inverse function swap the variable and equation solve for x

Q: Consider the function f(x) =(x +1 )( x-1)² 16. What is the inflection point?

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.