求达人解四道函数题1.f(x)=4ln(6x+5ln(x)) f'(x)=?f'(4)=?2.f(x)=4ln(ln(x
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求达人解四道函数题
1.f(x)=4ln(6x+5ln(x)) f'(x)=?f'(4)=?
2.f(x)=4ln(ln(x)) f'(x)=?
3.y=2^x+13/x^6 f'(x)=?
4.f(x)=ln((2x+9)/(7x-5))^(1/2) f'(x)=?
如方便,请附上解题步骤,感激不尽!
1.f(x)=4ln(6x+5ln(x)) f'(x)=?f'(4)=?
2.f(x)=4ln(ln(x)) f'(x)=?
3.y=2^x+13/x^6 f'(x)=?
4.f(x)=ln((2x+9)/(7x-5))^(1/2) f'(x)=?
如方便,请附上解题步骤,感激不尽!
![求达人解四道函数题1.f(x)=4ln(6x+5ln(x)) f'(x)=?f'(4)=?2.f(x)=4ln(ln(x](/uploads/image/z/4511827-19-7.jpg?t=%E6%B1%82%E8%BE%BE%E4%BA%BA%E8%A7%A3%E5%9B%9B%E9%81%93%E5%87%BD%E6%95%B0%E9%A2%981.f%28x%29%3D4ln%286x%2B5ln%28x%29%29+f%27%28x%29%3D%3Ff%27%284%29%3D%3F2.f%28x%29%3D4ln%28ln%28x)
首先要知道(lnx)'=1/x,然后一步一步求
1. f'(x)=4*[1/(6x+5lnx)]*(6+5/x),f'(4)就把x=4带入
2. f'(x)=4*(1/lnx)*(1/x)
(a^x)'=lna * a^x, (x^a)'=ax^(a-1)
3. f'(x)=ln2*2^x+13*6x^(-7)
4. f'(x)=[(7x-5)/(2x+9)]^(1/2)*(1/2)[(2x+9)/(7x-5)]^(-1/2)*{[2(7x-5)-7(2x+9)]/(7x-5)^2},整理就不写了
1. f'(x)=4*[1/(6x+5lnx)]*(6+5/x),f'(4)就把x=4带入
2. f'(x)=4*(1/lnx)*(1/x)
(a^x)'=lna * a^x, (x^a)'=ax^(a-1)
3. f'(x)=ln2*2^x+13*6x^(-7)
4. f'(x)=[(7x-5)/(2x+9)]^(1/2)*(1/2)[(2x+9)/(7x-5)]^(-1/2)*{[2(7x-5)-7(2x+9)]/(7x-5)^2},整理就不写了