若函数f(x)=(1/3)x^3+(1/2)f'(1)x^2-f'(2)x+3则f(x)在点(0,f(0))处切线的倾斜角

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若函数f(x)=(1/3)x^3+(1/2)f'(1)x^2-f'(2)x+3则f(x)在点(0,f(0))处切线的倾斜角

若函数f(x)=(1/3)x^3+(1/2)f'(1)x^2-f'(2)x+3则f(x)在点(0,f(0))处切线的倾斜角
若函数f(x)=(1/3)x^3+(1/2)f'(1)x^2-f'(2)x+3则f(x)在点(0,f(0))处切线的倾斜角

若函数f(x)=(1/3)x^3+(1/2)f'(1)x^2-f'(2)x+3则f(x)在点(0,f(0))处切线的倾斜角
f'(x)=x²+f'(1)x-f'(2)
令x=1
f'(1)=1+f'(1)-f'(2)
f'(2)=1
令x=0
则f'(0)=0+0-f'(2)=-1
即斜率是-1
所以倾斜角=3π/4