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Differentiate: y=x^x

First take log’s each side as it would turn our complicated function into something differentiable by chain rule.
ln y = x*ln x
Then differentiate y with respect to x:
d(ln y)/dx = ln x + 1...

MV
2461 Views

Differentiate: ln((e^x+1)/e^x-1))

Chain rule: First resolve the log differential, then resolve the fraction integration either by knowing the formula for it or by writing (e^x+1)/(e^x-1) as (e^x+1)(e^x-1)^(-1) and applying chain rule agai...

MV
Answered by Mihai V. Maths tutor
3483 Views

A machine is used to manufacture custom spoilers for two types of sports car( Car A and Car B0. Each day, in a random order, n are produced for Car A and m for Car B. What is the probability that the m spoilers for Car B are produced consecutively?

First we look at the probability of producing a total ensemble which is 1/(n+m)!. This is in any random order and any part either m or n
To further see what is going on let’s take some example let’s ...

MV
Answered by Mihai V. Maths tutor
2888 Views

A ball of mass m is thrown from the ground at the speed u=10ms^-1 at an angle of 30 degrees. Find the max height, the total flight time and the max distance it travels?Assume g=10ms^-1 and there is no air friction

First let’s split the problem into 2 parts: Vertical(y direction) and Horizontal(x direction.Vertical: u_y = 10 sin (30) = 5ms^-1
As for the ball to stop at max height and the fall down, all the kine...

MV
Answered by Mihai V. Physics tutor
2077 Views

'The Wall Street crash was the principle reason for Hitler's rise to power.' How far do you agree?

The Wall Street Crash begun in America in October 1929 and marked a period of insecurity and loss. This instability was extended to Germany, as a result of various ties with America, including the Dawes P...

TB
Answered by Talia B. History tutor
14500 Views

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