Question

What is the value of f'(3) if f(x)=18eto the power x +7In(x)

Answer 1

Answer:

f'(3) = 60*e^(3+7ln(3))

Step-by-step explanation:

f(x) = 18*exp{x+7ln(x)}

f'(x) = 18*exp(x+7ln(x))*(x+7ln(x))'

f'(x) = 18*exp(x+7ln(x))*(1+7/x)

f'(3) = 18*exp(3+7ln(3))*(1+7/3)

f'(3) = 18*(10/3)*exp(3+7ln(x))

f'(3) = 60*e^(3+7ln(3))