Question

Let g(t)=(t+3)ln(t+5)
Find the derivative, g'(t) , and the second derivative, g"(t) .
Is my first derivative right?
g'(t)=ln(t+5)+(1/ln(10))+(3/tln(10))

Answer 1

Incorrect...

The derivative of ln(t+5) is just 1/(t+5)

G'(t) = ln(t+5) + (t+3)/(t+5) Product Rule is used.

Answer 2

Oh okay so would the second derivative would be g"(t)=(1/t ln(10))+(2/(t+5)^2)?