Calculus1
18 Online
OpenStudy (anonymous):
....need help for this two problems of differentiation of algebraic functions.
1. y= -3/4x-x^2
2. y =1/4 (2x-3)^-10 please help me solve thisss
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OpenStudy (yanasidlinskiy):
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OpenStudy (anonymous):
plwease help me solve
OpenStudy (anonymous):
@matricked
OpenStudy (anonymous):
@cody_123
OpenStudy (anonymous):
\[1.y=\frac{ -3x }{ 4 }-x^2\]
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OpenStudy (anonymous):
is this the question
OpenStudy (anonymous):
yes that is
OpenStudy (anonymous):
\[\frac{ dy }{ dx }=\frac{ -3 }{ 4 }-2x\]
OpenStudy (anonymous):
that the first should i do? what rule will use on that?
OpenStudy (anonymous):
just that d/dx x^n=nx^(n-1)
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OpenStudy (anonymous):
ah. okaythe exponent rule? what next in that
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
ah okay what next should i do
OpenStudy (anonymous):
\[\frac{ 1 }{ 4(2x-3)^{10} }\]
OpenStudy (anonymous):
is this is the question?
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OpenStudy (anonymous):
yes. does the other one is already done?
OpenStudy (anonymous):
wait. the (2x-3)^-10is multiply by both of the fraction
OpenStudy (anonymous):
\[\frac{ 1 }{ 4 }*(2x-3)^{-10}\]
OpenStudy (anonymous):
is this question?
OpenStudy (anonymous):
yes that is
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OpenStudy (anonymous):
\[\frac{ 1 }{ 4 }\frac{ d }{ dx }(2x-3)^{-10}\]
\[\frac{ 1 }{ 4 }*(-10)*(2x-3)^{-11}\frac{ d }{ dx }(2x-3)\]
OpenStudy (anonymous):
\[\frac{ 1 }{ 4 }*(-10)*(2x-3)^{-11}*(2)\]
OpenStudy (anonymous):
i will simply substitute?
OpenStudy (anonymous):
what substitute?
OpenStudy (anonymous):
the whole number or its the final answer
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OpenStudy (anonymous):
it is the final answer
OpenStudy (anonymous):
ah okay thankyou so much for helping me. god bless you
OpenStudy (anonymous):
thanks