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tangent f(x)=sqrt(x),\at x=4

解答

切线

f (x) = x, at x = 4

解答

y = \frac{1}{4} x + 1

求解步骤

找到切点:

(4, 2)

计算

f (x) = x

的斜率:

\frac{df ( x )}{d x} = \frac{1}{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{1}{4}

找到斜率 m=

\frac{1}{4}

且穿过

(4, 2)

的直线:

y = \frac{1}{4} x + 1

y = \frac{1}{4} x + 1

作图

流行的例子

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d er i v a t i v e f (x) = sin (2 x)

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d er i v a t i v e f (x) = (x^{2} - 3 x) ln (x^{2} - 3 x)