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tangent f(x)=(5x-x^2)(5-x-x^2),\at x=1

解答

切线

f (x) = (5 x - x^{2}) (5 - x - x^{2}), at x = 1

解答

y = - 3 x + 15

求解步骤

找到切点:

(1, 12)

计算

f (x) = (5 x - x^{2}) (5 - x - x^{2})

的斜率:

\frac{df ( x )}{d x} = 4 x^{3} - 12 x^{2} - 20 x + 25

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 = - 3

找到斜率 m=

- 3

且穿过

(1, 12)

的直线:

y = - 3 x + 15

y = - 3 x + 15

作图

流行的例子

tangent f(x)=sqrt(x-3)

t an g e n t f (x) = x - 3

laplacetransform 1/2 cos(2t)

l a pl a ce t r an s f or m \frac{1}{2} cos (2 t)

integral of 1/(usqrt(a^2-u^2))

\int \frac{1}{u a ^{2} - u ^{2}} d u

(\partial)/(\partial z)(cos(xyz))

\frac{\partial}{\partial z} (cos (x yz))

\frac{d y}{d t} = 1.4 y