Differentiate each of the following functions and find the value of the derivative when x = 1:
(i) f(x)=2+x3(7ln(x)−9), 1 + 2x2ex
(ii)g(x)= 1+x2 ,
iii) h(x) =4 + x4.
Here's the first one:
\(f\left( x\right)=2+x^3(7\ln(x)-9) \\ \\ f'(x)=3x^2(7\ln(x)-9)+\frac{7x^3}{x}\rightarrow x^2(21\ln(x)-20) \\ \\ f'(1)=1^2(21\ln(1)-20)\rightarrow -20 \\ \)
