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If y= 30
+ (Sins
find dy and dy
dos (2= 14
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Step-by-step explanation
given y=x^(cos x)+(sinx)^tan x
dy/dx=(cos x) x^(cos x-1)+tan x(sin x)^(tan x-1)(cos x)
=(cos x)x^(cos x-1)+sin x (sin x)^(tan x-1)
=(cos x)x^(cos x-1)+(sin x)^(1+tan x-1)
=(cos x )x^(cos x-1)+(sin x)^tan x
(dy/dx) at x=л/4 =(1/√2)(π/4)^(1/√2 -1) + (1/√2)^1
=1/√2[π/4]^[(1-√2)/√2]+1/√2
=1/√2{π/4^(1-√2-1) +1}
hope this helps you
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