Keep getting the wrong answer when I apply the chain rule - help would be appreciated :)
sin(√(x)) + (1/2)(√(x))cos(√(x))
(1)sin√x + (x)(cos√x)(1/2)(1/√x)
=sin√x + (x/2√x)(cos√x)
=sin√x + (√x/2)cos√x
y = (x) * sin(sqrt(x))
y' = (x)' * (sin(sqrt(x)) + (sin(sqrt(x))' * (x) [nota : sqrt(x) = x^1/2]
y' = sin(sqrt(x)) + [cos(sqrt(x)) * (x^1/2)'] (x)
y' = sin(sqrt(x)) + [cos(sqrt(x)) * (1/2)x^(-1/2)] (x)
y' = sin(sqrt(x)) + [cos(sqrt(x)) * 1/(2sqrt(x))] (x) (answer)
xsin(route(x))
sin(route(x)) + [x/(2(routex))][cos(route(x))]
multiply it out from there
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sin(√(x)) + (1/2)(√(x))cos(√(x))
(1)sin√x + (x)(cos√x)(1/2)(1/√x)
=sin√x + (x/2√x)(cos√x)
=sin√x + (√x/2)cos√x
y = (x) * sin(sqrt(x))
y' = (x)' * (sin(sqrt(x)) + (sin(sqrt(x))' * (x) [nota : sqrt(x) = x^1/2]
y' = sin(sqrt(x)) + [cos(sqrt(x)) * (x^1/2)'] (x)
y' = sin(sqrt(x)) + [cos(sqrt(x)) * (1/2)x^(-1/2)] (x)
y' = sin(sqrt(x)) + [cos(sqrt(x)) * 1/(2sqrt(x))] (x) (answer)
xsin(route(x))
sin(route(x)) + [x/(2(routex))][cos(route(x))]
multiply it out from there