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a,c, and k are constants?

yes

Just use quotient rule.

got stucked at one point

\(\dfrac{d}{dx} \dfrac{f(x)}{g(x)} = \dfrac{f'(x)g(x) - f(x)g'(x)}{(g(x))^2}\)

why can we solve the numerator part first

treat constant as if they are just "number", and not variable.

for the upper part 5cx^4 +a

Right f'(x) = a+5cx^4

Can you find g'(x)?

for the lower part it will be 8kx^7

trying wait

same formula
different notation

\[5cx^4+a.kx^8 - ax+cx^5. 8kx^7/(kx^8)^2\]

\[\frac{(5cx^4+a)(kx^8)-(ax+cx^5)(8kx^7)}{(kx^8)^2}\]
i think this is what you mean

yes

what should i be doing the next