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P is a point on a circle with the equation x^2 + y^2 = 45. P has x-coordinate 3 and is above the x axis. Work out the equation of the tangent to the circle at point P.

First insert x = 3 into the equation of the circle3^2 + y^2 = 459 + y^2 = 45 take 9 away from both sidesy^2 = 36 take the square root of both sidesy = 6 (not -6 as P is above the x-axis)Next find the grad...

Answered by Emily W. Maths tutor
2824 Views

How do I identify that the coordinate (2,3) is the maximum point of the curve f(x)?

Start by finding the first derivative of the function - by differentiating f(x) with respect to x. Then substitute the x-coordinate, in this case 2, into the first derivative and it will equal zero if (2,...

Answered by Maths tutor
2946 Views

What is differentiation and what can it tell me?

Differentiation is something you can do to a function, to tell you about the gradient of the function. For your simple linear, quadratic, cubic, etc. equations, the process is the same every single time. ...

Answered by Oliver P. Maths tutor
2741 Views

A group of 44 pupils were asked if they owned a phone or a tablet. 5 people are known to own both 3 said they only owned a tablet 17 said they owned at least a phone A student is picked a random, what is the probability that the student doesn’t have

So in this question, there are 4 main people in this question; those who own ONLY a phone, ONLY a tablet, both a phone or a tablet or NONE. How do you think we could represent this information? Prompt stu...

Answered by Niki C. Maths tutor
3184 Views

Given that y = (3x^4 + x)^5, find dy/dx using the chain rule.

Let u = 3x4 + x
du/dx = 12x3 + 1
y = u5
dy/du = 5u4<...

Answered by Maths tutor
4838 Views

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