D douchey New member Joined Feb 1, 2006 Messages 6 Feb 9, 2006 #1 Find the derivative of the given function. (2x^2 + 5x)2 I am getting 16x^3 + 30x2 + 50x is this right? I am confused and think I could be mixing something up...........
Find the derivative of the given function. (2x^2 + 5x)2 I am getting 16x^3 + 30x2 + 50x is this right? I am confused and think I could be mixing something up...........
U Unco Senior Member Joined Jul 21, 2005 Messages 1,134 Feb 9, 2006 #3 douchey said: Find the derivative of the given function. (2x^2 + 5x)2 I am getting 16x^3 + 30x2 + 50x is this right? I am confused and think I could be mixing something up........... Click to expand... Close. (2x^2 + 5x)^2 expands to 4x^4 + 20x^3 + 25x^2. You've differentiated the first and last terms correctly, but the derivative of 20x^3 is 60x^2.
douchey said: Find the derivative of the given function. (2x^2 + 5x)2 I am getting 16x^3 + 30x2 + 50x is this right? I am confused and think I could be mixing something up........... Click to expand... Close. (2x^2 + 5x)^2 expands to 4x^4 + 20x^3 + 25x^2. You've differentiated the first and last terms correctly, but the derivative of 20x^3 is 60x^2.