if f(x)= (5x^2+3x-1)^(1/2)
2007-12-20 09:13:35 · 4 answers · asked by PRob 2 in Science & Mathematics ➔ Mathematics
f `(x) = (1/2)(5x² + 3x - 1)^(-1/2) (10x + 3)
f `(x) = (1/2) (10x + 3) / (5x² + 3x - 1)^(1/2)
2007-12-20 09:20:23 · answer #1 · answered by Como 7 · 3⤊ 2⤋
Find f'(2) if f(x)= (5x^2+3x-1)^(1/2)
f'(x) = (1/2)(5x^2+3x-1)^(-1/2)(10x+3)
f'(x) = (1/2)(10x+3)(5x^2+3x-1)^(-1/2)
f'(2) = (1/2)(10*2+3)(5*2^2+3*2-1)^(-1/2)
f'(2) = 2.3 ANS
teddy boy
2007-12-20 17:31:16 · answer #2 · answered by teddy boy 6 · 1⤊ 3⤋
Teddy boy and como got it right. The answer is 2.3. For a really nice explanation of the Chain Rule (used to solve this type of problem) visit this site:
http://tutorial.math.lamar.edu/classes/calcI/ChainRule.aspx
2007-12-20 18:36:57 · answer #3 · answered by hevans1944 5 · 0⤊ 2⤋
f"(x) =-1/4*(10*x+3)^2/(5*x^2+3*x-1)^(3/2)+5/(5*x^2+3*x-1)^(1/2)
so f"(2) = - 29/2500*25^(1/2)
2007-12-20 17:22:40 · answer #4 · answered by Danny T 1 · 0⤊ 2⤋