急.若函数f(x)=(e^x)cos x,则此函数图像在(0,f(0))处的切线的斜率角为

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急.若函数f(x)=(e^x)cos x,则此函数图像在(0,f(0))处的切线的斜率角为

急.若函数f(x)=(e^x)cos x,则此函数图像在(0,f(0))处的切线的斜率角为
急.若函数f(x)=(e^x)cos x,则此函数图像在(0,f(0))处的切线的斜率角为

急.若函数f(x)=(e^x)cos x,则此函数图像在(0,f(0))处的切线的斜率角为
f(x)=(e^x)cos x
f'(x) = (e^x) * (cos x)' + (e^x)' * cos x = -e^x * sin x + e^x * cos x
f'(0) b = -e^0 * sin 0 + e^0 * cos 0 = -1 *0 + 1 *1 = 1
函数图像在(0,f(0))处的切线的斜率k=1
斜率角=arc tan 1 = 45°