tangent f(x)=x^4,(2,16)

解答

切线

f (x) = x^{4}, (2, 16)

y = 32 x - 48

求解步骤

计算

f (x) = x^{4}

的斜率:

\frac{df ( x )}{d x} = 4 x^{3}

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 = 32

找到斜率 m=

32

且穿过

(2, 16)

的直线:

y = 32 x - 48

y = 32 x - 48

x \to 0 lim (+ (x))

\int \frac{1}{( \frac{x}{2} ) ^{2} + 1} d x

\frac{d}{d x} (38)

\frac{d}{d x} (\frac{e ^{2 x} - 1}{x})

\frac{d}{d x} (\frac{6}{x ^{5}})