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Work out the value of 81^(-1/4) (Non-Calculator)

To answer this question, we have to think about our power rules and use them to slowly simplify this complicated expression:81^-1/4 = ((81)^1/2)^-1/2 (Because ((x)^y

Answered by Reece P. • Maths tutor

11388 Views

Use Implicit Differentiation to find dy/dx of the following equation: 3(x)^2 + 8xy + 5(y)^2 = 4

(This is a common question in C4, the "hardest" module of the old A level)When differentiating we consider each term one at a time:Differentiating 3x² simply gives us 6x Differentiati...

Answered by Reece P. • Maths tutor

4328 Views

If 3 apples cost £1.50 and 4 oranges cost £3.20, how much do 5 apples and 3 oranges cost?

The answer is £4.90 and we know that this is the case because...If 3 apples cost £1.50, then one apple costs 50p and then 5 apples are 5 x 50p which is £2.50If 4 oranges cost £3.20 then one orange is £0.8...

Answered by Chris H. • Maths tutor

5344 Views

Find the equation of the straight line tangent to the curve y=2x^3+3x^2-4x+7, at the point x=-2.

We are looking for a straight line, so it needs the form y=mx+c. To find our gradient, m, we need the gradient of the curve at the point x=-2, so differentiate the equation: dy/dx=6x²+6x-4, and...

Answered by James B. • Maths tutor

6157 Views

When do you use integration by parts?

The formula for integration by parts is Integral(udv/dx)dx = uv - Integral(vdu/dx)dx
You use integration by parts when you have an integral where you have to terms multiplied together ie Int...

Answered by Alex B. • Maths tutor

4654 Views