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Mathematics 13 Online
OpenStudy (anonymous):

What am I doing wrong?

OpenStudy (anonymous):

f(x) = 6x + 2 at x = 1 6(1)^2+2 8 but it's not one of my choices

OpenStudy (anonymous):

Finding the derivative

hartnn (hartnn):

finding the derivative of f(x) = 6x+2 at x=1 is this your question ? whats f(x) exactly ?

OpenStudy (anonymous):

yes that's it

OpenStudy (anonymous):

f(x)=6x+2

hartnn (hartnn):

whats the derivative of 6x whats the derivative of 2 ?

OpenStudy (anonymous):

I don't understand

hartnn (hartnn):

f(x) = 6x+2 whats the derivative of f(x) ? f'(x) = ...

OpenStudy (anonymous):

1

hartnn (hartnn):

not actually derivative of constant = 0 so derivative of 2 is 0 for 6x, d/dx (6x) = 6 d/dx (x) = 6 so f'(x) = 6 makes sense ?

OpenStudy (anonymous):

kind of

OpenStudy (anonymous):

Is the derivative of every constant 0?

hartnn (hartnn):

so f'(x) = 6 at every point, including x=1 and yes derivative of every constant =0

OpenStudy (anonymous):

Ohh because you did 6(1)+0 right?

hartnn (hartnn):

yes

OpenStudy (anonymous):

and is that like the formula to find derivatives?

OpenStudy (anonymous):

d/dx (6x) = 6 d/dx (x) = 6 This one

OpenStudy (anonymous):

do i have to do that ^ can't i just replace the 2 with a zero and the x with a 1?

hartnn (hartnn):

\(\Large \dfrac{d}{dx}x^n = n x^{n-1}\) ^^ thats the general formula

hartnn (hartnn):

constants can be taken out of derivative so d/dx (6x) = 6 d/dx(x)

OpenStudy (anonymous):

how would i use that?

hartnn (hartnn):

and according to that formula d/dx(x) = 1

hartnn (hartnn):

you just replace 'n' by the exponent of x

OpenStudy (anonymous):

so in this case the x would be one?

hartnn (hartnn):

example : if i need derivative of x^6 we replace n by 6 d/dx(x^6) = 6 x^5

hartnn (hartnn):

n would be 1

OpenStudy (anonymous):

yes i meant the n

OpenStudy (anonymous):

okay it makes a bit more sense thanks for your help :)

hartnn (hartnn):

welcome ^_^

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