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Given the function f(x) = (x^2)sin(x), find f'(x).

The function f(x) is a product of 2 functions of x, so when we differentiate it, we need to use the product rule.

The product rule states that for a function f(x) = g(x)*h(x), f'(x) is given by g(x...

JS
Answered by Jason S. Maths tutor
9420 Views

A round cake is shared between Abi, Elvira and Tina. The angle cut at the centre of the cake for each piece is that person’s age multiplied by 10. Abi 9 years old and Elvira is 14 years old. How old is Tina?

The cake is in the shape of a circle. How many degrees in a circle?

Abi is 9 years old so the angle of her slice is 9 x 10 = 90°, Elvera is 14 years old so her angle is 14 x 10 = 140°. Total angle ...

VS
Answered by Varun S. Maths tutor
2494 Views

The gradient of a curve is defined as Dy/dx = 3x^2 + 3x and it passes through the point (0,0), what is the equation of the curve

Integrate this = (3x^3)/3 + (3x^2)/2 + c So y = x^3 + (3x^2)/2 + c Using point (0,0), 0 = 0 + 0 + c so c = 0. Full equation of the curve is therefore x^3 + (3x^2)/2

LT
Answered by Laura T. Maths tutor
5669 Views

Simplify fully: (5 +√7)/ (2+√7)

Can show working on a whiteboard.

TA
Answered by Tony A. Maths tutor
5697 Views

Can I have some guidance on the correct answer for this word order, grammar question?

Here's an example: 'On each biscuit (was wrote) (wrote) (write) (was written) (was writ) a word in bright pink icing.' For this type of question you will need to circle the correct word(s) that are shown ...

EM
Answered by Ella M. Maths tutor
2561 Views

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