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Find the first derivative of r=sin(theta+sqrt[theta+1]) with respect to theta.

To find the first derivative we must apply the chain rule. Our aim is to find dr/d(theta). We start by bringing the differential of what's inside the sine brackets outside and multiplying it by the differ...

Answered by Tutor61926 D. • Maths tutor

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Perhaps an introduction to integration with a simple integral, e.g. the integral of x^2

I would first write out the integral with correct notation, explaining to my tutee exactly what I am drawing and why. I will then explain the 'n+1' rule for integrating simple powers. I will go through th...

Answered by Reece C. • Maths tutor

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Find, in radians, the general solution of the equation cos(3x) = 0.5giving your answer in terms of pi

we have cos (3x) = 0.5 (1) we know that in the interval between [-pi; pi] there are two values that satify the equation cos(y) = 0.5 (2) the two solutions are y=pi/3 and y=-pi/3 in this interval. Mor...

Answered by Marie B. • Maths tutor

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(GCSE) A rectangle has the following characteristics: its length is (2x + 5), its width is (3x - 2). The perimeter of the rectangle is 46 cm. What is the value of x?

First of all draw the rectangle, name its sides and annotate its characteristics.
Define the data you have and what you are looking for.
Write down the general formula for the perimeter of a r...

Answered by Giulia D. • Maths tutor

5078 Views

How do you determine the nature of a graphs stationary point? e.g y = 1+2x-x^2

We have our function of y = 1+2x-x² The gradient of a stationary (or turning) point is 0, in essence a peak or a trough. In order to determine the gradient, we need to differentiate our ...

Answered by Joseph A. • Maths tutor

11149 Views