could you guys tell me if this right? in terms of the format

the question is Let f(x) = x**8 and g(x) = 6 x - 7.

d/dx F(X)= 8x^7
d/dx g(x)= 6
but my problem is d/dx [f(g(x))] = (6(8x^7))?

Question

could you guys tell me if this right? in terms of the format

the question is Let f(x) = x**8 and g(x) = 6 x - 7.

d/dx F(X)= 8x^7
d/dx g(x)= 6
 but my problem is d/dx [f(g(x))] = (6(8x^7))?

ash2326 · Answer

First find f(g(x) and then differentiate

anonymous · Answer

im not sure about (6(8x^7))

ash2326 · Answer

Ok, I'll write f(g(x) for you then you find $\frac{d}{dx} (f(g(x))$
$$f(g(x))={(g(x))}^8$$
We get
$$f(g(x))=(6x-7)^8$$
Can you do now?

ash2326 · Answer

f(g(x) is the composite function

anonymous · Answer

thats wrong

anonymous · Answer

becuase how are u getting to the 8th? you have even used the power rule yet

ash2326 · Answer

I haven't differentiated it yet. Now you have to differentiate with respect to x and that will be your answer

anonymous · Answer

i know so u get 8 (6x-7)^7

ash2326 · Answer

Yeah, That's correct. :D

ash2326 · Answer

No you have to multiply it by 6 also
$$\frac{d}{dx}(6x-7)=6$$

anonymous · Answer

ok but they only wanted me to find f(g(x))

ash2326 · Answer

yeah , when you differentiate (6x-7)^8
we get
$$7\times (6x-7)^7 \times 6$$

anonymous · Answer

ok thanx