How do you differentiate #f(x)=e^(5x^2+x+3) # using the chain rule?
2 Answers
Feb 25, 2016
Explanation:
Using the
#color(blue)" chain rule "#
#d/dx[f(g(x)) ] = f'(g(x)).g'(x) # and
#d/dx(e^x) = e^x# f'(x)
# = e^(5x^2+x+3) d/dx(5x^2 + x + 3)#
# = e^(5x^2+x+3)(10x + 1 )#
Feb 25, 2016
Explanation:
The given equation is
So that means
From chain rule, we have
So, taking for
You can substitute it all to get back the proper answer.