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Finding the tangent of an equation using implicit differentiation

y²e^2x = 3y + x²1) Differentiation: Product rule, Explicity differentiation.2) Rearrangement: Collecting terms, Making dy/dx subject.

Answered by Paul J. • Maths tutor

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Solve the simultaneous equation 2x + y = 18 and x - y = 6

With linear simultaneous equations the best thing to do is find one variable first and in this question we will find x first. We will start by rearranging the second equation to give us y = x - 6. Now we ...

Answered by Rita O. • Maths tutor

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Fully factorise and simplify (x^2 +7x + 10) / (x^2 - 25)

Simplify the numerator (top) by finding the pair of numbers which multiply together to give the C term of the quadratic, and add to give the B term. This gives 2 and 5 so the equation becomes (x+2)(x+5) /...

Answered by Nikolai P. • Maths tutor

4123 Views

We are given y=(x^2)+3x-5. Find the derivative of y in terms of x.

From the question we have, y=x²+3x-5
The rule of differentiation, is that you take the power on the x and bring it to the front, leaving the power-1 behind. In other words if you have x

Answered by Maya B. • Maths tutor

6191 Views

A house is bought for £150,000 at the start of 2005. For 3 years it loses 10% of its original value per year. After this time it loses 10% per year. What was its value at the end of 2011/start of 2012?

Original value = 150,000 10% original value =15,000 After 3 years year is 2008, house value = 150,000 - 3*(15,000) = 105,000Until start of 2012 from start of 2008, so 4 years of compound intrest. New v...

Answered by Henry F. • Maths tutor

2933 Views