若函数$f(x)$具有二阶导数,且$y=f({{x}^{2}})$,则$y'' =$( )。 A: $f'' ({{x}^{2}})$ B: $2f'’ ({{x}^{2}})$ C: $2f’ ({{x}^{2}})+4{{x}^{2}}f’' ({{x}^{2}})$ D: $4{{x}^{2}}f’ ({{x}^{2}})+2f'' ({{x}^{2}})$
若函数$f(x)$具有二阶导数,且$y=f({{x}^{2}})$,则$y'' =$( )。 A: $f'' ({{x}^{2}})$ B: $2f'’ ({{x}^{2}})$ C: $2f’ ({{x}^{2}})+4{{x}^{2}}f’' ({{x}^{2}})$ D: $4{{x}^{2}}f’ ({{x}^{2}})+2f'' ({{x}^{2}})$
已知\( y = f({x^2}) \),假设\( f(u) \)二阶可导,则\( y'' \)为( ). A: \( 4{x^2}f''({x^2}){\rm{ + }}2f'({x^2}) \) B: \( {x^2}f''({x^2}){\rm{ + }}2f'({x^2}) \) C: \( 4{x^2}f''({x^2}){\rm{ + }}f'({x^2}) \) D: \( {x^2}f''({x^2}){\rm{ + }}f'({x^2}) \)
已知\( y = f({x^2}) \),假设\( f(u) \)二阶可导,则\( y'' \)为( ). A: \( 4{x^2}f''({x^2}){\rm{ + }}2f'({x^2}) \) B: \( {x^2}f''({x^2}){\rm{ + }}2f'({x^2}) \) C: \( 4{x^2}f''({x^2}){\rm{ + }}f'({x^2}) \) D: \( {x^2}f''({x^2}){\rm{ + }}f'({x^2}) \)
设$f(x)=x^2$,$g(x)=2^x$, 那么 $f \circ f \circ g=$ A: $2^{x^4}$ B: $2^{4x}$ C: $x^{2^{2x}}$ D: $x^{2^{x^2}}$
设$f(x)=x^2$,$g(x)=2^x$, 那么 $f \circ f \circ g=$ A: $2^{x^4}$ B: $2^{4x}$ C: $x^{2^{2x}}$ D: $x^{2^{x^2}}$
设f(x)=sin2x+tan(x/2),则f(x)的周期是() A: π/2 B: π C: 2π D: 4π
设f(x)=sin2x+tan(x/2),则f(x)的周期是() A: π/2 B: π C: 2π D: 4π
已知\( y = {f^2}(x) \),假设\( f(u) \)二阶可导,则 \( y'' \)为( ). A: \( 2{[f'(x)]^2} + 2f(x)f'(x) \) B: \( 2[f'(x)] + 2f(x)f''(x) \) C: \( 2{[f'(x)]^2} + 2f(x)f''(x) \) D: \( 2{[f'(x)]^2} + f(x)f''(x) \)
已知\( y = {f^2}(x) \),假设\( f(u) \)二阶可导,则 \( y'' \)为( ). A: \( 2{[f'(x)]^2} + 2f(x)f'(x) \) B: \( 2[f'(x)] + 2f(x)f''(x) \) C: \( 2{[f'(x)]^2} + 2f(x)f''(x) \) D: \( 2{[f'(x)]^2} + f(x)f''(x) \)
青书学堂: 二次型 f( x 1 , x 2 , x 3 )=2 x 1 2 +5 x 2 2 +5 x 3 2 +4 x 1 x 2 −8 x 2 x 3 ,则 f的矩阵为 。
青书学堂: 二次型 f( x 1 , x 2 , x 3 )=2 x 1 2 +5 x 2 2 +5 x 3 2 +4 x 1 x 2 −8 x 2 x 3 ,则 f的矩阵为 。
设f(x)是反比例函数,且f(-2)=4,则() A: f(x)=4/x B: f(x)=-4/x C: f(x)=8/x D: f(x)=-8/x
设f(x)是反比例函数,且f(-2)=4,则() A: f(x)=4/x B: f(x)=-4/x C: f(x)=8/x D: f(x)=-8/x
【单选题】设 f ( x ) 是可导函数, 则 lim Δ x → 0 f 2 ( x + △ x ) − f 2 ( x ) △ x = ()。 A. [ f ′ ( x ) ] 2 " role="presentation"> [ f ′ ( x ) ] 2 B. 2 f ′ ( x ) " role="presentation"> 2 f ′ ( x ) C. 2 f ( x ) f ′ ( x ) " role="presentation"> 2 f ( x ) f ′ ( x ) " role="presentation"> 2 f ( x ) f ′ ( x ) x ) 2 f ( x ) f ′ ( x ) " role="presentation"> f ( x ) f ′ ( x ) D. 不存在;
【单选题】设 f ( x ) 是可导函数, 则 lim Δ x → 0 f 2 ( x + △ x ) − f 2 ( x ) △ x = ()。 A. [ f ′ ( x ) ] 2 " role="presentation"> [ f ′ ( x ) ] 2 B. 2 f ′ ( x ) " role="presentation"> 2 f ′ ( x ) C. 2 f ( x ) f ′ ( x ) " role="presentation"> 2 f ( x ) f ′ ( x ) " role="presentation"> 2 f ( x ) f ′ ( x ) x ) 2 f ( x ) f ′ ( x ) " role="presentation"> f ( x ) f ′ ( x ) D. 不存在;
设f(x)=x2+bx+c对任意实数t,都有f(2+t)=f(2-t),那么( )A.f(2)<f(1)<f(4)B.f(1)<f(2)<f(4)C.f(2)<f(4)<f(1) 设f(x)=x 2
设f(x)=x2+bx+c对任意实数t,都有f(2+t)=f(2-t),那么( )A.f(2)<f(1)<f(4)B.f(1)<f(2)<f(4)C.f(2)<f(4)<f(1) 设f(x)=x 2
【单选题】对任意实数x 1 , y 1 , x 2 , y 2 , x 1 < x 2 , y 1 < y 2 , 分布函数P{x 1 <X≤x 2 , y 1 <Y≤y 2 }=? A. F(x 2 , y 2 )+ F(x 1 , y 1 )+ F(x 1 , y 2 )+ F(x 2 , y 1 ) B. F(x 2 , y 2 )- F(x 1 , y 1 )+ F(x 1 , y 2 )- F(x 2 , y 1 ) C. F(x 2 , y 2 )+ F(x 1 , y 1 )- F(x 1 , y 2 )- F(x 2 , y 1 ) D. F(x 2 , y 2 )- F(x 1 , y 1 )- F(x 1 , y 2 )+ F(x 2 , y 1 )
【单选题】对任意实数x 1 , y 1 , x 2 , y 2 , x 1 < x 2 , y 1 < y 2 , 分布函数P{x 1 <X≤x 2 , y 1 <Y≤y 2 }=? A. F(x 2 , y 2 )+ F(x 1 , y 1 )+ F(x 1 , y 2 )+ F(x 2 , y 1 ) B. F(x 2 , y 2 )- F(x 1 , y 1 )+ F(x 1 , y 2 )- F(x 2 , y 1 ) C. F(x 2 , y 2 )+ F(x 1 , y 1 )- F(x 1 , y 2 )- F(x 2 , y 1 ) D. F(x 2 , y 2 )- F(x 1 , y 1 )- F(x 1 , y 2 )+ F(x 2 , y 1 )