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How do you differentiate using the chain rule?

In order to differentiate using the chain rule,you first need to know the chain rule. Chain rule : dy/dt * dt/dx = dy/dx. It is basic multiplication to get rid of the common factor of 'dt' in both equations ...
NG
Answered by Niha G. • Maths tutor
4108 Views

Consider the arithmetic sequence 2, 5, 8, 11, ... a) Find U101 b) Find the value of n so that Un = 152

Firstly, as with any question, make sure to check your formula book in order to find any relevant equations. In this case, the one most relevant to us is U n = U 1 + d(n-1). From here we will need to find th...
KW
Answered by Kirsty W. • Maths tutor
12757 Views

A curve has equation y^3+2xy+x^2-5=0. Find dy/dx.

To find the derivative of this, we must differentiate each term with respect to x. This implies d/dx(y^3+2xy+x^2-5=0). We can differentiate each term seperately so d/dx(y^3+2xy+x^2-5=0) is equal to d/dx(y^3)...
MC
Answered by Matthew C. • Maths tutor
5637 Views

Frank owns an ice cream van. When he bought the van five years ago and an ice cream cost £1.50. If the price of an ice cream increases by 3% a year how much does an ice cream cost now?

new amount = old amount * (1 + interest)^(number of times interest has occured) new amount = 1.50 * (1 + 0.03)^5 = £1.74 (rounded to 2 decimal places)
TN
Answered by Thomas N. • Maths tutor
3554 Views

Differentiate y = x^3 + 2x^2 + 4x + 7

To differentiate you bring the power down and multiply it by any coefficients (numbers in front of the xs) then subtract one from the power So x 3 becomes 3x 2 2x 2 becomes 2*2x 2-1 = 4x 4x becomes 4*1x 1-1 ...
CS
Answered by Courtney S. • Maths tutor
4503 Views