Question

find the derivative of 6 sqrtx + 3 ^3sqrtx ?

Answer 1

try changing the square roots to exponents, then apply power rule

Answer 2

okay, so we need to do some 'get ready steps'

Answer 3

for example, sqrt(x) = x^(1/2)

Answer 4

\[h(x) =6\sqrt{x} + 3\sqrt[3]{x} = 6(x)^{1/2} + 3(x)^{1/3}\]

Answer 5

what rule is this? @baldymcgee6

Answer 6

rule of exponents

Answer 7

we haven't applied any differentiating rules yet. this is just re-arranging to make it easier for us.

Answer 8

ohh ok ok

Answer 9

so after that we pick rule right.

Answer 10

Right, here we can just use the power rule again

Answer 11

ok so it would be 6x^1/2?

Answer 12

@baldymcgee6

Answer 13

No it would be