Sunday

December 21, 2014

December 21, 2014

Posted by **anon** on Sunday, March 6, 2011 at 12:38am.

my answer >> 2coth 2x.

2.)Find dy/dx when sinh 3y=cos 2x

A.-2 sin 2x

B.-2 sin 2x / sinh 3y

C.-2/3tan (2x/3y)

D.-2sin2x / 3 cosh 3yz...>> my answer.

2).Find the derivative of y=cos(x^2) with respect to x.

A.-sin (2x)

B.-2x sin (x^2)<<<< my answer.

C.-sin (2x) cos (x^2)

D.-2x sin (x^2) cos (x^2)

3).Find the derivative of y=sin^2(4x) cos (3x) with respect to x.

A. 8 sin (4x) cos (3x) - 3 sin^2 (4x) sin (3x)

B. 8 cos (4x) cos (3x) - 3 sin^2 (4x) sin (3x)

C. 8 sin (4x) cos (4x) cos (3x) - 3 sin^2 (4x) sin (3x)<<<<<my choice .not sure though

D. 8 sin (4x) cos (4x) cos (3x) - 3 sin^2 (4x) sin (3x) cos (3x)

4).Find the derivative of y=e^bx2 with respect to x

A.be^bx^2

B.bxe^bx^2

C.2 bxe^bx^2 <<<<< my choice

D.bx^2 e^bx^2

5).Calculate dy/dx when y=(x^2+2)e^4x as the derivative of a product,letting u=x^2+2 and v=e^4x. Which of the following is a step in your solution

A.du/dx=2x+2

B.du/dx=2x <<< my choice

C.dv/dx=4xe^3x

D.dv/dx=4xe^4x

- Calculus 12th grade (double check my work please) -
**MathMate**, Sunday, March 6, 2011 at 6:21am1. You need to follow the chain rule. 2cosh(2x) is only the second part:

d(ln(sinh(2x)/dx

=d(ln(sinh(2x))/d(sinh(2x)) * d(sihn(2x))/dx

=1/sinh(2x) * 2cosh(2x)

=2cosh(2x)/sinh(2x)

=2coth(2x)

2. "D.-2sin2x / 3 cosh 3yz...>> my answer. "

correct.

2. "B.-2x sin (x^2)<<<< my answer. "

correct.

3. C is correct

4. C is correct

5. B is correct.

Keep up the good work!

**Answer this Question**

**Related Questions**

Calculus - Find the derivatives of the function f(y)= sinh(sinh(7y).

Maths - use the formula cos(x+iy)=cosxcosiy-sinxsiniy to find two imaginary ...

maths 2 - The original question I had was write arcsin4 in the form a+ib. I ...

Calculus - Graph the curve and find its exact length. x = e^t + e^-t, y = 5 - 2t...

Calculus - Find the derivatives of the function f(t)=cosh^2(4t)-sinh^2(4t). ...

math - Can you please check my work. A particle is moving with the given data. ...

Calculus 2 - Find the integral of sinh^2(x)dx.

TRIG! - Posted by hayden on Monday, February 23, 2009 at 4:05pm. sin^6 x + cos^6...

Math - Calculus - The identity below is significant because it relates 3 ...

calc: arc length - find the exact length of this curve: y = ( x^3/6 ) + ( 1/2x...