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Find the derivative of f(x)=exp((tanx)^(1/2))

We use the chain rule. Let u(x)=exp(x), v(x)=x^1/2, w(x) = tan(x).
Then f(x) = u(v(w(x))). So by the chain rule, f'(x) = u'(v(w(x)))*(v(w(x)))'.
u'(x) = exp(x).
By the chain rule...

Answered by Luke D. • Maths tutor

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If a train leaves for a 130 mile journey at 1.30pm, and travels at a constant speed of 50 miles per hour, at what time will it arrive?

First, calculate the time taken for the train to complete its journey:
Distance = 130, Speed = 50, Time = Distance/Speed = 130/50 = 2.6 hours.
Next, use this to calculate the time of arrival:

Answered by Luke D. • Maths tutor

4657 Views

Write 144 as a product of its prime factors

To do this, we draw a prime factor tree (whiteboard). The easiest way is to keep dividing by 2 (which is a prime number) until we get an odd number. 144/2 = 72 and 72/2 = 36 and 36/2 = 18 and 18/2 = 9 whi...

Answered by Ewan S. • Maths tutor

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Solve x2 + 2x − 4 = 0 leave in simplest form.

This is a Quadratic equation so you would try to factorise.If it was on the calculator paper use the equation (You don't need to memories this equation, but you have to be commutable using it).However thi...

Answered by Malee N. • Maths tutor

4398 Views

2x + y = 10 and 4y - 5x = 1, solve for x and y.

Rearrange one of the linear equations in order to have x or y written as an equation of the other. I.E 1) y =10 - 2x.Then substitute this value into the other equation: 4(10 - 2x) - 5x = 1, hence 39 = 13x...

Answered by Nathan T. • Maths tutor

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