[考古]

[qqazw5789tw (嘟嘟)]

1 Find the slope of line targent to the graph y^2+x^y=3x^2 at the point (2.2)


2 find the area of the region enclosed by the lemniscate r^2=cos(2Θ)

3 find the directional derivative of f(x,y)=xe^-y at the point (1,0)in the
direction Θ=π/4

4 ∫arc sinx dx

5 suppose g is inverse function of a differentiable function f and let

G(x)=1/g(x) if f(3)=2 and f'(3)=1/9 then G'(2)=?


6 ∫上為π/8 下為0 cos3xcosxdx =?

7 the equation of targent line to the graph of the function f(x)=x/1+√x
at the point (1,1/2) is ?


8 evaluate the inerated integral ∫上為1 下為0 x^5 * x^3+1開根號  dx


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