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sorry last ones, can sonmeone help me please

1. given that y = sin3x show that d2y/dx2 = -9y

2. diffenrtitate 1+cos2x/1-cos2x

3. find value of sintheat when 7sectheta -3tantheta is a minumum

thanks!

1. given that y = sin3x show that d2y/dx2 = -9y

2. diffenrtitate 1+cos2x/1-cos2x

3. find value of sintheat when 7sectheta -3tantheta is a minumum

thanks!

$\frac{dy}{dx} = 3\cos 3x$

$\frac{d^{2}y}{dx^{2}} = -9\sin 3x = -9y$

$y = \frac{1+\cos 2x}{1- \cos 2x}$

$\frac{dy}{dx} = \frac{(1-\cos 2x)(-2\sin 2x) - (1+\cos 2x)(2\sin 2x)}{(1-\cos 2x)^{2}}$

Need to tidy it up yourself

$y = 7 \sec \theta - 3\tan \theta$

$\frac{dy}{d\theta} = 7\frac{\sin x}{\cos^{2}x} - 3 \sec^{2}x = \sec^{2}x (7 \sin x - 3)$

$\frac{d^{2}y}{dx^{2}} = -9\sin 3x = -9y$

$y = \frac{1+\cos 2x}{1- \cos 2x}$

$\frac{dy}{dx} = \frac{(1-\cos 2x)(-2\sin 2x) - (1+\cos 2x)(2\sin 2x)}{(1-\cos 2x)^{2}}$

Need to tidy it up yourself

$y = 7 \sec \theta - 3\tan \theta$

$\frac{dy}{d\theta} = 7\frac{\sin x}{\cos^{2}x} - 3 \sec^{2}x = \sec^{2}x (7 \sin x - 3)$

Im gna cry i just started differentiation today! I was late for the lesson so i havent got a clue what was going on anyway n didnt get any help when i was stuck. But OMG if thats what ive got 2 do i may go n cry.

Seriously maths stresses me out.

Seriously maths stresses me out.

LondonBoy

sorry last ones, can sonmeone help me please

1. given that y = sin3x show that d2y/dx2 = -9y

2. diffenrtitate 1+cos2x/1-cos2x

3. find value of sintheat when 7sectheta -3tantheta is a minumum

thanks!

1. given that y = sin3x show that d2y/dx2 = -9y

2. diffenrtitate 1+cos2x/1-cos2x

3. find value of sintheat when 7sectheta -3tantheta is a minumum

thanks!

1)dy/dx = 3cos3x

d2y/dx2=-9sin3x= -9y

2)sin^2(x)=1/2(1-cos2x) and cos^2(x)=1/2(cos2x+1)

and so 1+cos2x/1-cos2x=2cos^2(x)/2sin^2(x)

=cot^2(x)

dy/dx=-cosec^2(x)

3)im too lazyyyy

damn alphanumeric beat me to it

rachelrainbow32

Im gna cry i just started differentiation today! I was late for the lesson so i havent got a clue what was going on anyway n didnt get any help when i was stuck. But OMG if thats what ive got 2 do i may go n cry.

Seriously maths stresses me out.

Seriously maths stresses me out.

Dont worry thats c3,c4 stuff , the differentiation in c1 is much nicer. After while it will becomes second nature.

- Econ+Maths joint honours, or straight Econ?
- Differentiate
- Differentiation
- Does anyone know a sheet with all the differentiated and integrated functions?
- a level maths differentiation product rule question
- Differentiation
- Maths Problem
- Higher maths!!
- Numbers of Arrangements
- SHM
- A level maths mechanics question (1)
- find an expression for the gradient of y=e^3.2x
- ..
- Intergrate
- Biology - cell differentiation
- Implicit Differentiation 2
- Prior knowledge of maths for a Finance undergrad
- A-Level chemistry
- A Level Maths Exam Question
- KCL/QMUL dentistry gcse grades

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can someone please explain what principle domain is and why the answer is a not c?Maths

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