In my math class, we are beginning to find derivatives of more complex functions. I’ve been trying questions from my textbook as practice. Here are two of them that I’m trying out:
y=(lnx)2.
First, we take the power rule. This would make it 2(lnx). Then you multiply it by the derivative of the inside function right? lnx’s derivative is 1/x. So, multiplied by 1/x. This gives us 2lnxx. This doesn’t seem correct so I’m a little confused.
y=3√2x+1
First, we get the denominator to the top. We get y=3(2x+1)−1/2. Then, we use the power rule. y=3(x+1/2). Then we multiply by the derivative again. Which is 2, I believe. This gives us y=6(2x+1). Again, this does not seem correct and I’m confused.
I feel that my mistakes may be from a mix up of steps but I’m not exactly sure where in my process I went wrong.
