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受欢迎的微积分 >

tangent y=(5x)/(2^x),\at x=2

解答

切线

y = \frac{5 x}{2 ^{x}}, at x = 2

解答

y = \frac{5 ( 1 - 2 ln ( 2 ) )}{4} x + 5 ln (2)

求解步骤

找到切点:

(2, \frac{5}{2})

计算

y = \frac{5 x}{2 ^{x}}

的斜率:

\frac{d y}{d x} = \frac{5 ( 1 - ln ( 2 ) x )}{2 ^{x}}

EN : T i tl e G e n er a l Eq u a t i o n Sl o p e A t P o in t 2 Eq : m = \frac{5 ( 1 - 2 ln ( 2 ) )}{4}

找到斜率 m=

\frac{5 ( 1 - 2 ln ( 2 ) )}{4}

且穿过

(2, \frac{5}{2})

的直线:

y = \frac{5 ( 1 - 2 ln ( 2 ) )}{4} x + 5 ln (2)

y = \frac{5 ( 1 - 2 ln ( 2 ) )}{4} x + 5 ln (2)

作图

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