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Find dy/dx when y = 4x^1/2

dy/dx means you have to differentiate the equation provided: y = 4x1/2When we differentiate with respect to x we must multiply the power by the coefficient: 1/2 = power by 4 = coefficient which...

CB
Answered by Christopher B. Maths tutor
9539 Views

The equation of the line L1 is y = 3x – 2 The equation of the line L2 is 3y – 9x + 5 = 0 Show that these two lines are parallel

L1 ->  y = 3x – 2L2 -> 3y – 9x + 5 = 0
L2 3y = 9x − 5 L1 3y = 9x -6
Gradient is the same therefore lines are parallel.

MS
Answered by Mark S. Maths tutor
2738 Views

How do you sketch r=theta? I don't really understand polar coordinates.

First, make sure that the tutee understands using radians, and get them to do some examples of swapping between radians and degrees to ensure familiarity.Then explain to the tutee that they already intuit...

GH
Answered by Georgina H. Maths tutor
3212 Views

Given f(x) = (x^(2)+(3*x)+1)/(x^(2)+(5*x)+8), find f'(x) and simplify your answer.

Taking: f(x) = (x^(2)+(3x)+1)/(x^(2)+(5x)+8)
An application of the quotient rule of differentiation is required. This rule is given as:
Where g(x) = u(x)/v(x), g'(x) = ((u'(x)v(x))...

AM
Answered by Andrew M. Maths tutor
1608 Views

Rearrange the following to make m the subject. 4(m – 2) = t (5m + 3)

In this equation we have two variables (meaning a symbol - usually denoted by a letter - which represents varying values) ‘m’, and ’t’. The question is asking us to make m the subject of this equation whi...

HG
Answered by Harry G. Maths tutor
2972 Views

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