Mathematics
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OpenStudy (anonymous):
f(x)=5x^4-(1/3x^2)+ax f'(x)=?
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OpenStudy (ajprincess):
Differentiation of f(x) with respect to x gives f'(x)
Is ur question
\[\frac{5x^4-1}{3x^2+ax}\]?
OpenStudy (anonymous):
no no
OpenStudy (anonymous):
1/3(x)
OpenStudy (ajprincess):
\(f(x)=bx^n\)
\(f'(x)=b*nx^{n-1}\)
does this help?
OpenStudy (anonymous):
i would have to apply on all those terms
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OpenStudy (ajprincess):
f(x)=b*x^n. this is similar to f(x)=5x^4
in place of b u have 5 and n is 4.
f'(x) of bx^n is b*nx^{n-1}. so can u find f'(x) of 5x^4.
OpenStudy (ajprincess):
u can use it for other terms (-1/3)x^2 and +ax. Can u find @jadi?
OpenStudy (anonymous):
i would have to apply more then one time ???
OpenStudy (ajprincess):
yup. hav u found the differentiation of 5x^4?
OpenStudy (anonymous):
20x^3
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OpenStudy (ajprincess):
ya. very good:) similarly find differentiation of (-1/3)x^2 and +ax and combine them to find the total differentiation of f(x)=5x^4-(1/3x^2)+ax
OpenStudy (ajprincess):
@jadi hav u found?
OpenStudy (anonymous):
it 0
OpenStudy (ajprincess):
noo. what is the differentiation of ax?
OpenStudy (anonymous):
a
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OpenStudy (ajprincess):
ya good:) and diffrentiation of (-1/3)x^2?
OpenStudy (anonymous):
2/3x
OpenStudy (ajprincess):
Guess u forgot the - sign. Now add them all together to find the differentiation of 5x^4-(1/3x^2)+ax. Can u do @jadi?
OpenStudy (anonymous):
no i could not
OpenStudy (ajprincess):
f(x)=5x^4-(1/3x^2)+ax
f'(x)=20x^3-(2/3)x+a
Getting it?
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OpenStudy (anonymous):
ja is that all
OpenStudy (ajprincess):
yup:)
OpenStudy (anonymous):
ooo thank u very much
OpenStudy (ajprincess):
welcome:)