im using chain rule method... but i still cant work it out. can you please help me...? thanks
2007-04-30 22:41:40 · 3 answers · asked by maya820 1 in Science & Mathematics ➔ Mathematics
Hi there,
I think you do not need chain rule here. You use chain rule only if the expression is a composition of two functions, that is, if it is of the form f(g(x)). An example is y = (2x^2 + 3)^5, where you can take the outer function as f(x) = x^5 and the inner function as g(x) = (2x^2 + 3). However, I wont proceed to answering my example using chain rule for now.
What you use to differentiate the equation is the factor method, since it is of the form y = f(x)*g(x). By this method, we have the derivative as
y` = f`(x)*g(x) + f(x)*g`(x)
Taking the pattern of this formula, we have:
y= (2x²+3)(x+1)
y` = (4x)(x+1) + (2x²+3)(1)
y` = 4x²+4x+2x²+3
y`=6x²+4x+3
:)
2007-04-30 22:50:55 · answer #1 · answered by wala_lang 2 · 1⤊ 0⤋
First work out the brackets.....
y = 2x^3 + 2x^2 + 3x + 3
dy/dx = 6x^2 + 4x + 3
2007-05-01 05:45:13 · answer #2 · answered by Doctor Q 6 · 1⤊ 0⤋
dy/dx = (4x).(x + 1) + 1.(2x² + 3)
dy/dx = 4x² + 4x + 2x² + 3
dy/dx = 6x² + 4x + 3
2007-05-01 05:48:53 · answer #3 · answered by Como 7 · 0⤊ 0⤋