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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

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expand y=(x+1)(x+2) and find what are the coordinates for x intercepts?

use the smile technique

Answered by Sen H. • Maths tutor

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Simplify 4^2 x 2^4

4²= 2^2x2=2⁴2⁴x2⁴= 2⁸ Explanation: In order to simplify powers you need to get the same base number. In order to ge...

Answered by Jack N. • Maths tutor

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If 4x = 9y, and 2x + 5y = 95. What is the value of y^2 - x?

This is a simultaneous equation problem.If 4x = 9y then 2x = 4.5y.Then by substitution, 4.5y + 5y = 95.Then 9.5y = 95 (divide by 9.5) gives y = 10.By using back substitution 2x = 4.5*10 = 45 (divide by 2 ...

Answered by Riku G. • Maths tutor

3157 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

3475 Views