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Find all values of x in the interval 0 ≤ x ≤ 2pi for 2sin(x)tan(x)=3

This questions involves the use of trigonometric identities, specifically [1] tan(x) = sin(x)/cos(x) and [2] sin 2 (x) + cos 2 (x) = 1. Start by rearranging the given equations to tan(x) = 3/2sin(x) by divin...
JC
Answered by Jasmin C. • Maths tutor
7507 Views

Find the derivative of sin(x)/x^3 with respect to x

First, bring the x to the numerator (top) as x^(-3). Then use the chain rule: State the first times derivative of the second plus state the second times the derivative of the first.State sin(x), then multipl...
TD
Answered by Tutor170145 D. • Maths tutor
7590 Views

Simplify the following, 125^-2/3

1. The minus sign indicates that the answer is a reciprocal meaning basically 1 over. 2. Next, on inspection of the fraction, the 2 on top means that you square the number, times it by itself. 3. The 3 on th...
CB
Answered by Cameron B. • Maths tutor
3422 Views

Differentiate dy/dx ((2x^3)+(x^2)-(4x)+7)

Differentiate each term in the equation separately then put then put the differentiated equation back together.First we start with (2x 3 ):2 x 3 = 6 and 3-1=2 so we get the differentiated term of 6x 2 then w...
TR
Answered by Theodora R. • Maths tutor
3372 Views

Differentiate 5x^2 - 7x +9

The general rule for differentiation is multiply by the power and decrease the power by one. So if we take each term individually starting with 5x^2, and multiply by the power giving 10 then reduce the power...
RG
Answered by Rachael G. • Maths tutor
1865 Views