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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
4116 Views

How should I translate an ablative absolute? I've never managed to get it.

You should always start by translating it with 'with,' so for example, 'with the man having laughed,' 'with the man laughing,' or 'with the man being about to laugh.' If you're not sure of the tense, see ...

JG
Answered by Joseph G. Latin tutor
1841 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
3758 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
6299 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
7929 Views

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