Question

10) If y=x? - 15x + 37 then
dy/DX = ​

Answer 1

Answer:

The product rule is d(f(x)f(y))dx=f(y)df(x)dx+f(x)df(y)dx

let f(x)=x and g(x)=(1+3x)5

So use the rule and we can get the result

dydx=(1+3x)5∗1+x∗5(1+3x)4∗3=(1+3x)4(1+3x+15x)=(18x+1)(1+3x)4