Question

Find the derivative

Answer 1

\[t^{3/2} (2+\sqrt{t})\]

Answer 2

do you know the derivative of t^(2/3) ?

Answer 3

t^(3/2)
excuse me....

Answer 4

3/2t^3?

Answer 5

do you know how to apply the product rule and power rule?

Answer 6

yea

Answer 7

i just have trouble finding the derivative for the square root. i got -1/2x, i'm not sure if that's right

Answer 8

almost right.

Answer 9

sqroot t = t^(1/2)

Answer 10

that's the derivative? isn't that the same as square root of t?

Answer 11

but with an exponent?

Answer 12

yea, so apply the power rule to find the derivative

Answer 13

f * g' + f' * g -> t^3/2 * t^1/2 + 3/2t^3 * ? are you sure that is the derivative of square root of t?

Answer 14

no, i was just showing you that square root t can be rewritten like that. apply the product rule to find the derivative of sq root t

Answer 15

but that's what i have problems with? i got 1/2x as the derivative of square root of t

Answer 16

dx^1/2/dx = (x^[-1/2])/2

Answer 17

= 1/(2x^[1/2])