f=f'sinx+cosx
f'(x)=f'(π/2)cosx-sinx
當(dāng)x=π/2時,
f'(π/2)=f'(π/2)cosπ/2-sinπ/2=-1
f'(x)=-cosx-sinx
∴f'(π/4)=-cosπ/4-sinπ/4
=-√2/2-√2/2=-√2
設(shè)函數(shù)f的導(dǎo)數(shù)為f',且f=f'sinx+cosx
設(shè)函數(shù)f的導(dǎo)數(shù)為f',且f=f'sinx+cosx
則f'=
則f'=
數(shù)學(xué)人氣:538 ℃時間:2019-09-22 03:52:45
優(yōu)質(zhì)解答
我來回答
類似推薦
- 設(shè)函數(shù)f(x)的導(dǎo)數(shù)為f′(x),且f(x)=f′(π2)sinx+cosx,則f′(π4)= _ .
- 設(shè)函數(shù)f(x)=sinx+cosx,f′(x)是f(x)的導(dǎo)數(shù),若f(x)=2f′(x).則sin2x?sin2xcos2x=_.
- 函數(shù)f(x)=1-sinx/1+cosx的導(dǎo)數(shù)是
- 設(shè)f(x)的導(dǎo)數(shù)為cosx,則f(x)的原函數(shù)是()A:1+sinx B:1-sinx C:1+cosx D:1-cosx
- 若f(x)的導(dǎo)函數(shù)是sinx,則f(x)有一個原函數(shù)為( ?。?A.1+sinx B.1-sinx C.1+cosx D.1-cosx
- 衛(wèi)星運動軌道問題
- 已知5x+12y=60,求根號(x-4)^2+y^2的最小值
- 求幫助一道初一的數(shù)學(xué)題. 感謝
- 請仿照春最后3段以理想為話題寫一段話
- isn't the dolphin clever?怎么回答?
- 如圖,已知,△ABC和△ADE均為等邊三角形,BD、CE交于點F. (1)求證:BD=CE; (2)求銳角∠BFC的度數(shù).
- 若log底數(shù)2[log底數(shù)3(log底數(shù)4)]
猜你喜歡