Best Answer

This is how you start by using the derivative of inx formula:

(1/e^x*In10)* e^x


our final answer will be: 1/In10

User Avatar

Wiki User

11y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: What is The Derivative Of Log Base of 10 ex?
Write your answer...
Still have questions?
magnify glass
Related questions

Differentiate log x?

The derivative of ln x, the natural logarithm, is 1/x.Otherwise, given the identity logbx = log(x)/log(b), we know that the derivative of logbx = 1/(x*log b).ProofThe derivative of ln x follows quickly once we know that the derivative of ex is itself. Let y = ln x (we're interested in knowing dy/dx)Then ey = xDifferentiate both sides to get ey dy/dx = 1Substitute ey = x to get x dy/dx = 1, or dy/dx = 1/x.Differentiation of log (base 10) xlog (base 10) x= log (base e) x * log (base 10) ed/dx [ log (base 10) x ]= d/dx [ log (base e) x * log (base 10) e ]= [log(base 10) e] / x= 1 / x ln(10)

What is the Difference between a natural log and a log with base 10?

The natural log of a number is some other number such that if you take e (2.718281828...) and raise it to that other number you would get the first number. Another way to say this is that a natural log is a log with base e. The common log of a number is some other number such that if you take 10 and raise it to that other number you would get the first number. The natural log base, e, is a special transcendental number, chosen so that the derivative (respect to x) of ex is equal to ex . In other words, the slope of a tangent line to the curve y = ex at point (x, ex) is equal to ex for all x

How do you make natural log to log with base of 10?

To make a natural log a log with the base of 10, you take ten to the power of you natural log. Ex: ln15=log10ln15=log510.5640138 I'm sorry if you don't have a calculator that can do this, but this will work.

Solve ln y equals xln e?

ln is the natural logarithm. That is it is defined as log base e. As we all know from school, log base 10 of 10 = 1 just as log base 3 of 3 = 1, so, likewise, log base e of e = 1 and 1.x = x. so we have ln y = x. Relace ln with log base e, and you should get y = ex

How do you differentiate ex?

The derivative of ex is ex. The derivative of ex is e.

What is the derivative of e to the power of x?

The derivative of ex is ex

How do you use the calculator to find the cube root?

Depends on your calculator. If you have "raise to the power" then use "raise to the power 1/3". If not, try logs: either logs to base 10 or logs to base e will do: find the log, divide it by 3, then find the antilog. For base e, (log sometimes written "ln" meaning "natural log") the antilog is just the exponential : " ex ".

Differentiate inverse function from logarithmic function?

The inverse of the natural log function lnx is exA function must be one to one to have an inverse and the log function is.I am not sure if that is what you are asking.The derivative of ex is itself.That is to say if f(x)=ex then f'(x)=exIf you are asking about the derivative of lnx, it is 1/xand if you look at logb x=1/(xlnb)Not sure which one you are looking for.

What is a log in Math?

a log is the 'undo-er' of powers, kind of like division is the 'undo-er' of multiplication. EX: 102 = 100, then log10(100) = 2 103 = 1000, then log10(1000) = 3, in this example, we are using log base 10, this is a default base and sometimes isn't even wirten. e is probably the most common base but log base e is more simply called the natural log, or ln. so in general: logx(m) = N means that xN = m so log5(125) = 3 because 53 = 125.

Why is the function ex the natural number e raised to the power of x so special from the calculus point of view?

That's because powers that involve the power "e", and logarithms to the base "e", are simpler than other powers or logarithms. For example: the derivative of ex is ex, while a derivative with other bases is more complicated; while the derivative of the natural logarithm (ln x, or logex) is 1/x.

What is the natural logarithms in mathematics?

Natural logarithms are logarithms to base e, where e is the transcendental number which is roughly equal to 2.71828. One of its properties is that the slope (derivative) of the graph of ex at any point is also ex.

What is the derivative of e-x?

I suppose you mean ex. The derivate is also ex.