y=sin^4(3x)cos^3(4x)怎么做

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y=sin^4(3x)cos^3(4x)怎么做
y=sin^4(3x)cos^3(4x)
这个题目怎么求函数的导数

y'=[sin^4(3x)]'cos^3(4x)+sin^4(3x)[cos^3(4x)]'
=4sin^3(3x)*(sin3x)'*cos^3(4x)+sin^4(3x)*3cos^2(4x)*(cos4x)'
=4sin^3(3x)*cos(3x)*(3x)'*cos^3(4x)+sin^4(3x)*3cos^2(4x)*[-(sin4x)](4x)'
=12sin^3(3x)cos(3x)*cos^3(4x)-12sin^4(3x)*cos^2(4x)*(sin4x)

y=sin^2x-3sinxcosx+4cos^2x是否等于y=sin^2x+cos^2x+3cos^2x-3/2*si 证明sin^2(x)+cos^2(x+30)+sin(x)cos(x+30)=3/4 已知函数y=4 cos²x+4倍根号3 sin x cos x-2,x∈R. 化简y=sin^2(x)+2sin(x)cos(x)+3cos^2(x) y=sin（-3x) =-sin3x y=cos(3x+π\4) =cos(π/2+3x-π/4) =-sin(3x-π 1.y=cos^4x+sin^4x 求周期 2.y=（sin2x+sin（2x+π/3)）/（ cos2x+cos（2x 求y=sin^5x ,y=cos(4x+3) 的导数, y =(cos^2) x - sin (3^x),求y' y=sin^4(3x)cos^3(4x)的导数怎么求?过程请详细点. Sin x-sin y=2/3 cos x-cos y=1/2 求cos(x-y) 函数y=【cos（3x+π/4)-sin(3x+π/4）】/[cos（3x+π/4)+sin(3x+π/4）]的定义域, y=(4-3sin x)(4-3cos x)最小值