(a) State the definition of the 'usual' differential of a function F(x). (b) Use the relation F(x + dx) – F(x) 2 dF(x) it to compute e0.1 and In 0.9 (without a calculator). Then compute e0.1 and In 0.9 using a calculator and compare the results.

Q: (2) Find the derivative of each of the following functions (a) f(x) = (1+x*)²/3 (b) g(x) = V1+…

A: a) We use the power rule and chain rule

Q: f(x) = Vx² + 64

A:

Q: 3x + 1 Consider the function f(x) Compute each of the following. Simplify your answer and use x - 3…

A: Given f(x)=-3x+1x-3

Q: X x + 2 A1. The functions f and g are defined by f(x) (a) Calculate f'(x) and g'(x). d (b) Calculate…

A:

Q: ind the derivative of the following functions in its simplest form. Show all of your work. Use the…

A:

Q: Find the inverse function to y=F(x)=5sqrt(x+3) X=G(y)=

A:

Q: Find the second derivative of the function h. h(x) = (10 – x2) (5x + 17)

A: Here, h(x)=(10-x2)(5x+17)

Q: The temperature of a chemical reaction oscilllates between a low of 40 degreesC and a high of…

A: Solution :  Given ,  The temperature of a chemical reaction oscilllates between a low of 40 degreesC…

Q: Find the derivative of the function. Simplify your answer as much as possible f(x) = e(4x*) + x

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.