Question

find the derivative of u=5x+1/2 sqrt of x

Answer 1

what is sqrt

Answer 2

is it square root?

Answer 3

yes

Answer 4

derivative of u=5x+(1/2) sqrt of x
sometimes its easier to use the power rule, and rewriting it as
u=5x+(1/2 )( x)^1/2 use power rule of the derivative

Answer 5

d(kx)/dx=k.,,dx^n/dx= nx^n-1

Answer 6

the problem is actually:

Answer 7

u=5x + 1/(2sqrtx)?

Answer 8

\[u= 5x+1\div 2\sqrt{x}\]

Answer 9

it will be the same idea by using the power rule
u=5x + 1/(2sqrtx)

u=5x + (1/2)(x)^-1/2 now find the derivative

Answer 10

what if i use the quotient rule?

Answer 11

u=5x + (1/2)(x)^-1/2
is it
du/dt=5+(1/2)(-1/2)x^-1/2 - 2/2)

du/dt=5+(1/2)(-1/2)x^-3/2 ) ?

Answer 12

its find the derivative of the function \[u= 5x+1 \div \sqrt{2}\]

Answer 13

ok the quotient rule says
\[\frac{ d(\frac{ U }{ V }) }{ dx }=\frac{ V \frac{ du }{ dx }-U \frac{ dV }{ dx } }{ v ^{2} }\]

Answer 14

\[u= 5x+1\div 2\sqrt{x}\]

Answer 15

so i must use the power rule?

Answer 16

arrange them like
\[u=5x +(\frac{ 1 }{ 2 })(\frac{ 1 }{ x ^{\frac{ 1 }{ 2 }} })\]

Answer 17

okay

Answer 18

what did you get ?

Answer 19

give me a minute

Answer 20

lets try to work only on
1/x^1/2

Answer 21

u=1, v=x^1/2

Answer 22

where did u get the v from?

Answer 23

if you are using the quotient rule
Dx(U/V)

Answer 24

wait the quotient rule is