1. If y=xsinx, then dxdy=(A) sinx+cosx(B) sinx+xcosx(C) sinx−xcosx(D) x(sinx+cosx)(E) x(sinx−cosx)2. Let f be the function given by f(x)=300x−x3. On which of the following intervals is the function f increasing?(A) dxdy=0 and dxdy=1(B) dxdy=2(C) dxdy=3 only(D) dxdy=4 only(E) dxdy=5Unauthorized copying or reuse ofany part of this page is illegal.GO ON TO THE NEXT PAGE.−4-A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A3. dxdy=6(A) dxdy=7(B) dxdy=8(C) dxdy=9(D) sinx+cosx0(E) sinx+cosx1
Q. 1. If y=xsinx, then dxdy=(A) sinx+cosx(B) sinx+xcosx(C) sinx−xcosx(D) x(sinx+cosx)(E) x(sinx−cosx)2. Let f be the function given by f(x)=300x−x3. On which of the following intervals is the function f increasing?(A) dxdy=0 and dxdy=1(B) dxdy=2(C) dxdy=3 only(D) dxdy=4 only(E) dxdy=5Unauthorized copying or reuse ofany part of this page is illegal.GO ON TO THE NEXT PAGE.−4-A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A3. dxdy=6(A) dxdy=7(B) dxdy=8(C) dxdy=9(D) sinx+cosx0(E) sinx+cosx1
Linear and Exponential Functions:f(x) is a linear function and g(x) is an exponential function.
Growth Rate Comparison: Exponential functions grow faster than linear functions.
Exceeding Linear Function: Therefore, g(x)=3.3x−5 will eventually exceed f(x)=8x+3.3.
More problems from Compare linear and exponential growth