Reversing The Chain Rule
Reversing The Chain Rule . Integrating with reverse chain rule step 1: Pick a term to substitute for u: Integration by reverse chain rule YouTube from www.youtube.com Ex2+5x,cos(x3+ x),loge(4x2 +2x) e x 2 + 5 x, cos ( x 3 + x), log e ( 4 x 2 + 2 x). To apply the reverse chain rule, we need to set 𝑓 ( 𝑥) = 𝑥 − 2 𝑥 + 1 , and since this is the term raised to a power, we can differentiate 𝑓 ( 𝑥) term by term by using the power rule for differentiation to get 𝑓 ′ ( 𝑥) = 3 𝑥 − 2. The chain rule and integration by substitution suppose we have an integral of the form where then, by reversing the chain rule for derivatives, we have € ∫f(g(x))g'(x)dx € f'=f.