Practice problem
Find the second derivative. f(x)=e2xsin(πx)f(x)=e^{2x}\sin(\pi x)f(x)=e2xsin(πx)
f′′(x)=e2xsin(πx)[4+4π−π2]f''(x)=e^{2x}\sin(\pi x)[4+4\pi-\pi^2]f′′(x)=e2xsin(πx)[4+4π−π2]
f′′(x)=e2x[2sin(πx)+πcos(πx)]f''(x)=e^{2x}[2\sin(\pi x)+\pi\cos(\pi x)]f′′(x)=e2x[2sin(πx)+πcos(πx)]
f′′(x)=e2x[4sin(πx)+4πcos(πx)−π2sin(πx)]f''(x)=e^{2x}[4\sin(\pi x)+4\pi\cos(\pi x)-\pi^2\sin(\pi x)]f′′(x)=e2x[4sin(πx)+4πcos(πx)−π2sin(πx)]
f′′(x)=4e2x[cos(πx)−πsin(πx)+π2cos(πx)]f''(x)=4e^{2x}[\cos(\pi x)-\pi\sin(\pi x)+\pi^2\cos(\pi x)]f′′(x)=4e2x[cos(πx)−πsin(πx)+π2cos(πx)]
Type a concept, like “slope” or “photosynthesis”.
