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akhl

@akhl

Dazzler

Posted: 15 years ago

#151

For Q2, try

4x * sinx * tanx * (x * tanx + 2)

But before that, let me know if there are any instructions on how the website expects the answer. As you know same algebraic expression can be written different ways

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Sonia

@Miggi

Inactive

Posted: 15 years ago

#152

Originally posted by: Miggi

yea they r right👏

hey did u try 1 & 2 may be in #2 we have to factor sinx out like 4xsinx(tan^2x+2tanx)

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Sonia

@Miggi

Inactive

Posted: 15 years ago

#153

Originally posted by: akhl
For Q2, try
4x * sinx * tanx * (x * tanx + 2)

But before that, let me know if there are any instructions on how the website expects the answer. As you know same algebraic expression can be written different ways

it does not say anything about formatting the ans.

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akhl

@akhl

Dazzler

Posted: 15 years ago

#154

So try

4x sinx tanx (x tanx + 2)

I have factored out whatever is common. I do not know if website expects you to put * for multiplication or some other form. But the answer is correct.

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Sonia

@Miggi

Inactive

Posted: 15 years ago

#155

Originally posted by: akhl
So try
4x sinx tanx (x tanx + 2)

I have factored out whatever is common. I do not know if website expects you to put * for multiplication or some other form. But the answer is correct.

I'll but i can submit my work only 1 more time out of 5 so if u could gimme the ans to #1 too thn i can give a shot. it's my last chance to do it right.😭

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akhl

@akhl

Dazzler

Posted: 15 years ago

#156

For 1 try

[(-x^2 - 2x + 7)e^x - x e^2x + 7]/(x+e^x)^2

I have used [ ] . If web site expects only ( ) then replace [ ] by ( )

Make sure to use exponents correctly. For example in e^2x, whole of 2x is the exponent.

I am sure all my answers are correct. But I really do not know how the web site expects.

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Sonia

@Miggi

Inactive

Posted: 15 years ago

#157

Hello

I have some calculus questions again.

1) Find an equation of the tangent line to the astroid at the (-3v3, 1).

x^2/3 + y^2/3 = 4

2) Find y ' and y ".

3) Use logarithmic differentiation to find the derivative of the function.

4) Use logarithmic differentiation to find the derivative of the following equation.

y = (ln(x))^cos(15x)

^{Thanks in advance! plzz help with in 12 hours.it would be appreciated. :)}

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akhl

@akhl

Dazzler

Posted: 15 years ago

#158

1) Find an equation of the tangent line to the astroid at the (-3v3, 1).

x^2/3 + y^2/3 = 4

Differentiating both sides with respect to x

(2/3)x^-1/3 + (2/3)y^-1/3 dy/dx = 0

Dividing both sides by 2/3, we get

x^-1/3 + y^-1/3 dy/dx = 0

dy/dx = -(x/y)^-1/3

dy/dx = -(y/x)^1/3

Substituting x = -3v3 and y = 1 we get

dy/dx = -(1/-3v3)^1/3 = 1/(3v3)^1/3

dy/dx = 1/[(3^1/3) * (3^1/6)]

dy/dx = 1/v3

Slope of the tangent m = 1/v3

It passes through point (-3v3, 1)

Therefore equation of the tangent:

y - 1 = 1/v3 * [x-(-3v3)]

y - 1 = 1/v3 * (x + 3v3)

v3(y-1) = x + 3v3

y = x/v3 + 4

See if you are expected to enter the answer in some other format.

Are questions 2 and 3 for the same equation as given in 1?

4) Use logarithmic differentiation to find the derivative of the following equation.

y = (ln(x))^cos(15x)

e^y = cos(15x)

Differentiating both sides with respect to x,

1/y * dy/dx = -sin(15x) * 15

dy/dx = -15 sin(15x) * y

dy/dx = -15 * sin(15x) * (ln(x))^cos(15x)

Ans: -15 * sin(15x) * (ln(x))^cos(15x)

Edited by akhl - 15 years ago

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Sonia

@Miggi

Inactive

Posted: 15 years ago

#159

Hello, thnxx for ue help in 1st and 4th question,nd no question no 2 and three got removed i am posting them again.

Find y ' and y ".

y=ln(4x)/x^2

nd the 2nd is

Use logarithmic differentiation to find the derivative of the function.

y=[(sin(x))^2 (tan(x))^6]/(x^2+3)^2

thnx in advance

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akhl

@akhl

Dazzler

Posted: 15 years ago

#160

ok be online. i am typing the answers. :)

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