Posted by **Alexis** on Tuesday, November 13, 2012 at 11:22pm.

Find the derivatives of these:

f(x)=(√(x))sinPix

Also:

f(x)=√(Cosx+sinx)

Steps would be greatly helpful as I will be able to use them as reference. Thank you.

- Maths -
**just walked by**, Tuesday, November 13, 2012 at 11:35pm
f'(x)=(√(x))'*(sin(pix))+(sin(pix))'*(√(x))=1/2*(x)^(-1/2)*(sin(pix))+cos(pix)*(pi)*(√(x))

2)

f'(x)=(1/2(cosx+sinx)^(-1/2))(cos(x)+sin(x))'=(1/2(cosx+sinx)^(-1/2)*(-sin(x)+cos(x))

- Maths -
**Steve**, Wednesday, November 14, 2012 at 10:51am
correct answers, but they're sort of like leaving an answer as 4x^2y/3xy instead of simplifying to 4x/3

1)1/2√x sinπx + π/√x cosπx

= 1/2√x (sinπx + 2πcosπx)

2)

(cosx-sinx) / 2√(cosx+sinx)

## Answer This Question

## Related Questions

- Trig - If secx = 8 and -pi/2 < x < 0, find the exact value of sin2x Use ...
- Math - Find an equation of the line that bisects the obtuse angles formed by the...
- 8th grade algebra - Can you check my answers? 1. 3√20/√4 = 3√(...
- Calculus - Just got through with derivatives, power rule, and chain rule. I am ...
- maths - I will be thankfull to you if you help me to solve the below problem: 6...
- Algebra - How would i complete these problems? 1. (√6mn)^5 2. ^3√16x...
- Algebra 2 Answer Check - Simplify by rationalizing each denominator. 1. 2/√...
- Math - Use a sum or difference identity to find the exact value of sin225° a...
- Algebra Work Check - 1. 5√6 * 1/6√216 5/6 * √1296 5/6 * √...
- maths - Prove that (2√3+3)sinx+2√3cosx lies between -(2√3+15) ...

More Related Questions