若函數(shù)f(x)＝x³－f ′(－1)·x²＋x＋5，則f ′(1)＝________.

已知f(x)＝ax³＋3x²＋2，若f ′(－1)＝4，則a的值為

________．

若函數(shù)f(x)＝e^xsinx，則此函數(shù)圖像在點(diǎn)(4，f(4))處的切線的傾斜角為(　　)

A.　　　　                                               B．0

C．鈍角　　　　                                          D．銳角

已知點(diǎn)P在曲線f(x)＝x⁴－x上，曲線在點(diǎn)P處的切線平行于直線3x－y＝0，則點(diǎn)P的坐標(biāo)為(　　)

A．(0,0)                                                        B．(1,1)

C．(0,1)                                                        D．(1,0)

已知曲線y＝x⁴＋ax²＋1在點(diǎn)(－1，a＋2)處切線的斜率為8，則a＝(　　)

A．9                                                             B．6

C．－9                                                          D．－6

設(shè)f₀(x)＝sinx，f₁(x)＝f ′₀(x)，f₂(x)＝f ′₁(x)，…，f_n＋1(x)＝f ′_n(x)，n∈N，則f_{2 015}(x)等于(　　)

A．sinx                                                         B．－sinx

C．cosx                                                        D．－cosx

曲線y＝e^x在點(diǎn)A(0,1)處的切線斜率為(　　)

A．1                                                             B．2

C．e                                                             D.

若函數(shù)f(x)＝x²＋bx＋c的圖像的頂點(diǎn)在第二象限，則函數(shù)f ′(x)的圖像是(　　)

已知f(x)＝xlnx，若f ′(x₀)＝2，則x₀＝(　　)

A．e²                                                            B．e

C.                                                          D．ln2

下列求導(dǎo)數(shù)運(yùn)算正確的是(　　)

A．(x＋)′＝1＋                                 B．(log₂x)′＝

C．(3^x)′＝3^xlog₃e                                         D．(x²cosx)′＝－2xsinx