Top answers

Given that y = x^4 + x^(1/3) + 3, find dy/dx

We use the rule that if y = x^n then dy/dx = n*x^(n-1) which is valid whether or not n is an integer. We also use that differentiation is a linear operation, which means that we can differentiate term by ter...
KS
Answered by Karan S. • Maths tutor
15701 Views

What is the cosine rule?

What is it? The cosine rule is a tool to find the size of an angle or the length of a side in a triangle. When to use it? - When we are given 2 sides and an angle- When we are given 3 sides How? For a triang...
NG
Answered by Naomi G. • Maths tutor
5800 Views

How do I use Pythagorus' Theorum?

Pythagorus' Theorum is used to calculate the lengths of the sides of a right angled triange, and is written mathematically as follows: a 2 + b 2 = c 2 The letters (a, b and c) each stand for one of the three...
NP
Answered by Narissa P. • Maths tutor
7282 Views

What can I say about the roots of a quadratic equation without actually calculating them?

If a quadratic equation is of the form ax 2 +bx+c, calculate D (Discriminant) whose value is b 2 -4ac. If the value of D is negative, the equation has imaginary roots. If the value of D is positive, the equa...
SS
Answered by Swapnil S. • Maths tutor
5141 Views

How can I integrate e^x sinx?

Such an integral looks difficult to manage; clearly it is a case of integration by parts, but neither part of the product appears to reduce easily into a nicer form. The key here is use the fact that sinx ha...
AW
Answered by Alex W. • Maths tutor
6737 Views