Saturday

November 22, 2014

November 22, 2014

Posted by **Alex** on Wednesday, May 21, 2008 at 7:37am.

Find dy/dx.

Also..

2) Let f(x) = 1/sqrt(4x^2-x). Determine f'(x).

3) Let y = 5/cubrt((2x-5)^2). Determine dy/dx.

- Calculus -
**drwls**, Wednesday, May 21, 2008 at 7:58am1) dy/dx = dy/du*du/dx

= (3 u^2 + 6)(8x^3 + 6x)

To get it in terms of x only, substitute the u(x) function for u.

2) Use the same "function of a function" approach as above. Let

u = 4x^2 -x

f(u) = u^(-1/2)

df/dx = df/du*du/dx

3) Let u = (2x-5)

f(u) = 5/u^(2/3)

Use the same procedure

**Answer this Question**

**Related Questions**

Calculus - help please! :) - 1. Given that f(x) = x^2 − 2x and that g(x...

math,algebra,help - Directions are simplify by combining like terms. x radiacal ...

pre-cal - Find the roots of the function f(x)= x^2+2x+2 Determine f(x) a) (x+1-i...

calculus - Determine the slope of the tangent m, for each of the following ...

differantiation - Determine dy/dx if: (i) Y= sqrt x^sqrt x (ii) Y= xarcsin(x) + ...

Calculus - Please look at my work below: Solve the initial-value problem. y'' + ...

Mathematics - sqrt 6 * sqrt 8 also sqrt 7 * sqrt 5 6.92820323 and 5.916079783 So...

Calculus - determine f" if f(x)=sqrt(x^3+2)

Math - i see were u got that from but this 1 is confusing. 6 (index 3) square ...

calculus - Find a vector that has the same direction as the given vector but has...