Question

What is the derivative of 2x^(-1/2) +x^(3/2) ?
Please show steps...

Answer 1

Just use the power rule \[\large \frac{ d }{dx }\left( x^n \right) = n*x^{n-1}\]

Answer 2

So, the answer is -x^(-3/2)+3/2(x^(1/2))

Answer 3

the answer is -x^(-3/2) + (3/4)x^(-1/2)

Answer 4

is the second answer correct?

Answer 5

Neither look correct

Answer 6

okay so the first part..... 2x^(-1/2)
the derivative of that is -x^(-3/2)
right?

Answer 7

Right

Answer 8

the second part is (3/2)x^1/2
the derivative of the second part is (3/4)x^(-1/2)
correct?

Answer 9

the second part is x^(3/2)

Find the deriv. of that.