Your derivative for # 2 is wrong.
You would use the power rule and the chain rule for this problem if you were to leave
There is a rule that states "if f and g are differentiable at x, then so are f+g and f-g" and
I have started reviewing derivative in class and have a few questions.
First off I am wondering if I have calculated the derivatives for the following correctly.
1) f(t) = 2 - (2/3)t
f'(t) = -2/3
2)f(x) = (√x^5)- 3x^-7
f'(t) = (√5x^4) - 21x^-8
My second question is there is a derivative rule for the sum which states "The derivative of a sum is the sum of the derivatives".
Is there a rule that applies the same way for the difference? Which would state the derivative of a difference is the difference of the derivatives?
Thanks for any help