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Find values of x in the interval 0<x<360 degrees. For which 5sin^2(x) + 5 sin(x) +4 cos^2(x)=0

This question is split up into two parts. Firstly recall the trigonometric identities you know, the trick here is to eliminate one of the squared terms. Using 4sin^2(x) +4cos^2(x) = 4, the cos term is elimin...
JG
Answered by James G. • Maths tutor
9788 Views

Differentiate the following... f(x)= 5x^4 +16x^2+ 4x + 5

The rule for differentiating a simple equation such as this is, to times the coefficient by the power and the take one away from the power. Therefore, lets look at 5x^4 you would times the 5 by 4 to get 20x^...
CM
Answered by Celia M. • Maths tutor
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y = 2ln(2x + 5) – 3x/2 , x > –2.5 find an equation to the normal of the curve when x = -2

2x + 5y = 11
SA
Answered by Shabeer A. • Maths tutor
5532 Views

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

This equals to dy/dx= 1/3 x 2 +1/3 x 1 This is because we divide by the power and then minus one from the powerSo it becomes x 3-1 /3 which can be simplified to 1/3 x 2 The 2 is differentiated to 0 because i...
VI
Answered by Vera I. • Maths tutor
3475 Views

find the derivative of f(x) = x^3 + 2x^2 - 5x - 6. Find all stationary points of the function.

Calculate the derivative using the standard rules, in particular (x n )' = nx n-1 . f(x)' = 3x 2 + 4x - 5 Stationary points are where the derivative is equal to 0, i.e. all x such that f(x)' = 0, so solving ...
GM
Answered by Gustas M. • Maths tutor
5548 Views