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Maths
A Level

Differentiate the function: y = sin(x^2)*ln(5x)

We are tasked with differentiating y = sin(x2)ln(5x)
This function is actually a product of the functions:
sin(x2) and ln(5x)
Therefore the product rule will be re...

Answered by Thomas C. Maths tutor
8025 Views

How do you find the roots of a cubic equation?

Solving cubics is an interesting problem: while there is a formula which can find the roots of every cubic equation, it isn't taught and is not generally worth learning. Instead, exam questions will of...

Answered by Sam M. Maths tutor
15465 Views

Let f(x) and g(x) be two odd functions defined for all real values of x. Given that s(x)=f(x)+g(x), prove that s(x) is also an odd function.

We recall that a function f(x) is said to be an odd function when f(-x)=-f(x).

We are told that f(x) and g(x) are odd functions, so we know from the abov...

Answered by Keir H. Maths tutor
12627 Views

differentiate 2^x

y=2^x
lny=xln2
y=e^(xln2)

Answered by Mit P. Maths tutor
5593 Views

A pot of water is heated to 100C and then placed in a room at a temperature of 18C. After 5 minutes, the pan temperature falls by 20C. Find the temperature after 10minutes.

(The rate at which the temperature of a body falls is proportional to the difference between the body temperature and the room temperature) - this would be given in the question.

This is ...

Answered by Asher C. Maths tutor
5411 Views

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