Question
If \(y=x^{2}(e^{x}-1)\),then \(\frac{\mathrm{d} y}{\mathrm{d} x}\) is:
A \(2xe^{x}\)
B \(2xe^{x}-2x\)
C \(x^{2}e^{x}+2xe^{x}-2x\)
D \(x^{2}e^{x}+2xe^{x}-x^{2}-2x\)
▶️Answer/Explanation
Ans:C
Question
The figure above shows the graphs of the functions f and g. If h(x) = f(x)g(x), then h'(2) =
A \(\frac{13}{2}\)
B \(\frac{1}{2}\)
C -1
D \(-\frac{11}{2}\)
▶️Answer/Explanation
Ans:D
Question
An equation of the line tangent to the graph of \(f(x)=x(1-2x)^{3}\) at the point (1,−1) is ,
A y=−7x+6
B y=−6x+5
C y=−2x
D y=2x−3
E y=7x−8
▶️Answer/Explanation
Ans:E
Question
If y=xsinx, then \(\frac{\mathrm{d} y}{\mathrm{d} x}\)=
A sinx+cosx
B sinx+xcosx
C sinx−xcosx
D x(sinx+cosx)
E x(sinx−cosx)
▶️Answer/Explanation
Ans:B