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How do you differentiate X to the power of a?

To differentiate X a , where a is any real number, you multiply X by a, and subtract 1 from the power. i.e. d(X a )/dX=aX a-1
JB
Answered by James B. • Maths tutor
17880 Views

How do i solve simultaneous equations?

simulatneous equations are solved by eliminating one of the unknowns such as x or y. there are a number of ways to do this such as substitution or subtraction/addition. For this example we will use subtracti...
MK
Answered by Matthew K. • Maths tutor
6131 Views

What is 45% of 60?

I would ask the student what they understood of percentages and if they understood the relationship between fractions and percentages. I would explain that 1% of a value is the same as 1/100 of a value. The ...
SN
Answered by Sophie N. • Maths tutor
7390 Views

x^2 + y^2 + 10x + 2y - 4xy = 10. Find dy/dx in terms of x and y, fully simplifying your answer.

x 2 + y 2 + 10x + 2y - 4xy = 10 Start by differentiating both sides by x, the terms not containing y are differentiated normally, x 2 becomes 2x, 10x becomes 10, and 10 becomes 0. For the y 2 term, by implic...
GL
Answered by Guy L. • Maths tutor
15189 Views

Paul travels from Rye to Eston at an average speed of 90 km/h. He travels for T hours. Mary makes the same journey at an average speed of 70 km/h. She travels for 1 hour longer than Paul. Work out the value of T

As distance is equal to speed multiplied by time, the distance Paul has traveled is 90 multiplied by T, or 90T. As Mary is making the same journey, she travels the same distance. The distance she travels is ...
GL
Answered by Guy L. • Maths tutor
13795 Views