# Overview of Different Functions

In the realm of mathematics and computer science, functions serve as fundamental building blocks for modeling relationships between variables and solving complex problems. From simple linear functions to intricate trigonometric functions, each type offers a unique method for describing and analyzing data. Understanding the diverse array of functions is essential for mastering various mathematical concepts and for practical applications in fields such as engineering, economics, and physics. This overview aims to elucidate the characteristics and roles of different functions, providing a foundational understanding for further exploration and analysis.

Questions

- How do you find the derivative of #y=sin2x+cos2x+ln(ex)#?
- What is the derivative of # e^(x^3)+log_5(pi)#?
- What is the derivative of #y=ln[x/(2x+3)]^(1/2)#?
- Lim x->oo {x-(x^2)*ln((1+x)/x)} please explain all of phase...? thanks.
- What is the derivative of #y= 2x^4 - 2x^3 - 8#?
- What is the derivative of #y= e^(3x/4)#?
- How do you differentiate #ln(6z^4+3z^2)#, #ln(6x^2+3z)#, and #ln(4z+1)# assuming #z>0#?
- What is the derivative of #ln(x^2)#?
- What is the end behavior of function g?
- What is the derivative of #1/logx#?
- Find the slope at any value of x,if y=(lnx)^1/lnx ?
- What is the derivative of the function #f (x)=ln (ln ((x+4)/ln (x^2+4)# ?
- What is the difference between the general formula for the derivative of the natural logarithm vs other logarithms?
- How to differentiate y= (ln x)/(1+ln x) ?
- How do you describe the behaviour of #F(x) = ln(4-x^2)# ?
- When do you use a **Logarithm** when taking a derivative?
- What is the derivative of #f(x) = log_2(8x)#?
- How to use logarithmic differentiation to find the derivative of a function, and can it be used for any function?
- Express as a natural log,then differentiate with respect to x,Find dy/dx (a)y=(2x-3)^5/(x²+1)^6√(x^3-2x). (B)y=log4 2x (c) y=x^(2x)?
- Can you use logarithms to find the weight of 100 units if one unit is 0.7?