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Calculate the derivative of the following function: f(x)=cos(3x))^2

The answer can be found by using the chain rule and simple substitution as well as basic knowledge of differentiation.f’(x)= -6cos(3x)sin(3x)

JM
Answered by Jeff M. Maths tutor
5096 Views

What are the most important trig identities we need to know?

cos^2(A) + sin^2(A) = 1, sin(A+B) = sinAcosB + cosAsinB, cos(A+B) = cosAcosB - sinAsinB, sin2A = 2sinAcosA (if A = B), cos2A = cos^2(A) - sin^2(A) (if A = B), cos2A = 1 - 2sin^2(A) => sin^2(A) = 1/2(1 ...

BH
Answered by Bowen H. Maths tutor
4506 Views

Solve the differential equation dy/dx = 6xy^2 given that y=1 when x=2.

This equation can be solved using separation of variables. Firstly we rearrange the equation so that all of the y's are on the left hand side and all of the x's are on the right: 1/y2* dy = 6x ...

WS
Answered by Will S. Maths tutor
7670 Views

Find the binomial expansion of (4-8x)^(-3/2) in ascending powers of x, up to and including the term in x^3. Give each coefficient as a fraction in its simplest form. For what range of x is a binomial expansion valid?

(4-8x)^(-3/2) =Factoring out 4^(-3/2) to make binomial expansion easier(1-2x)^(-3/2) =Using the binomial series expansion in the formula booklet, up to the term in x^3<...

HT
Answered by Hamish T. Maths tutor
8994 Views

(Economics A-level) Is the cross elasticity of demand for tea likely to be positive or negative following a rise in the price of milk? Explain your answer

Let's first break down the concepts involved in this question. Price elasticity of demand is the responsiveness of the quantity of a good demanded to changes in the price of that good. Cross price elastic...

DG
Answered by Dylan G. Maths tutor
7263 Views

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