Let f(x) = (x^2 + 3)^2(x^3 – 2)^3/(4x – 1)^5. Determine f ‘ (x). Leave the derivative in un-simplified form.
2007-05-24 07:03:25 · 3 answers · asked by slow_math 1 in Science & Mathematics ➔ Mathematics
The derivative of the denominator = D = 20(4x-1)^4
The derivative of the numerator is:
N =2x(x^2+3)(x^3-2)^3 + (x^2+3)(9x^2)(x^3-2)^2
So f'(x) = [N(4x-1)^5 - D(x^2 + 3)^2(x^3 – 2)^3)]/(4x-1)^10
I wrote it this way because I could not get it to print right otherwise.
2007-05-24 07:23:03 · answer #1 · answered by ironduke8159 7 · 0⤊ 0⤋
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http://calc101.com
2007-05-24 14:06:46 · answer #2 · answered by Anonymous · 0⤊ 0⤋
damn...just thinking about this gives me a headache.....havent done it in years.....
2007-05-24 14:10:43 · answer #3 · answered by tomatto85 2 · 0⤊ 0⤋