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If I had an equation with both 'x' and 'y' present, how would I find the gradient?

Using the equation (x+y)²=xy² as an example base to see how it would work in practice. The most important fact is that dy/dx =y'. Simply put, the derivative of y is ...

Answered by Oli K. • Maths tutor

2648 Views

Why, how and when do we use partial fractions and polynomial long division?

Partial fractions and long division have the same purpose which is to decompose complex expressions into simpler ones in order to easily deal with them in calculations. Think of them as t...

Answered by Daniel W. • Maths tutor

11544 Views

Differentiate y= (3x^2+2x-6)^8

This is an example of where we must use the chain rule:
Firstly as with simpler differentiation we multiply the function by the power then subtract 1 from the power to get:
8(3x^2+2x-6)^7
T...

Answered by Ollie T. • Maths tutor

3241 Views

(Core 3 level) Integrate the function f(x) = 2 -cos(3x) between the bounds 0, pi/3.

f(x) = 2 - cos(3x)integrate function x term2 -> 2x (raise power of x then divide by new power for polynomial functions of x) -cos(3x) -> -(1/3)(sin(3x)) (using a substitution of 3x = u, then cos(u) ...

Answered by Riku G. • Maths tutor

2729 Views

What is the value of sin(theta), cos(theta), tan(theta) where theta = 0, 30, 45, 60, 90

sin(0) = 0 ; sin(30) = 1/2; sin(45) = 1/sqrt(2); sin(60) = sqrt(3)/2; sin(90) = 1cos(0) = 1; cos(30) = sqrt(3)/2; cos(45) = 1/sqrt(2); cos(60) = 1/2; cos(90) = 0 tan(0) = 0; tan(30) = 1...

Answered by Luqman B. • Maths tutor

4632 Views