Question

Differentiate x^2 surd x

Answer 1

\[x^2 \sqrt{x}\]?

Answer 2

\[\Large x^2 \sqrt x \implies x^2 \times x^{1/2} \implies x^{2 + 1/2} \implies x^{5/2}\]
does that help?

Answer 3

@Ayeshaafzal you still here?

Answer 4

But the answer says 5 root x3 over 2

Answer 5

correct...

Answer 6

i only said the equivalent of \[x \sqrt x\] i never said it was the answer...

Answer 7

you have to take the derivative of \[x^{5/2}\] use power rule

Answer 8

X^3*

Answer 9

you know how to use power rule right?

Answer 10

No i forgot

Answer 11

\[\huge \frac{d}{dx} (x^n) \implies nx^{n-1}\]
remember now?

Answer 12

Ohhh i get it thnx

Answer 13

welcome ^_^

Answer 14

I am still not getting the answer

Answer 15

did you get \[\huge\frac{d}{dx} (x^{5/2}) \implies \frac 52 x^{\frac 52 - 1}\]

Answer 16

Are we not gonna times by x^2 which is the value of n

Answer 17

n is 5/2

Answer 18

the form is x^n remember? n is the exponent...in this case it's 5/2

Answer 19

for example.. derivative of x^3 is 3x^(3-1) or 3x^2

derivative of x^4 is 4x^(4-1) or 4x^3

derivative of x^2 is 2x^(2-1) or 2x^1 or simply 2x

getting the idea now?

Answer 20

Got it 5*x^3/2 /2= 5 rootx^3 over2

Answer 21

right

Answer 22

Thank u i am so sorry about my dumbness

Answer 23

haha nahh calculus is hard so dont feel bad :D

Answer 24

anyway you're welcome :D i have to go sleep now so i wsh you luck in these problems

Answer 25

Have a good night