# 기초수학 1.18

## 2406 days 전, whwnqjq119 작성

f(x)=4^(-x) plot(f(x), (x, -3, 3), ymax=30)
f(x)=2^(-abs(x)) plot(f(x), (x, -3, 3), ymax=2)
f(x)=-(1/2)^x plot(f(x), (x, -3, 3))
f(x)=(1/2)^x+(1/2)^(-x) plot(f(x), (x, -3, 3))
f(x)=2^x g(x)=2^x+2 h(x)=2^(x+1)-2 plot(f(x), (x, -3, 3))+plot(g(x), (x, -3, 3), color='red')+plot(h(x), (x, -3, 3),color='black')
f(x)=log(x,2) g(x)=log(x-2,2) h(x)=log(x,2)+3 t(x)=log(x-2,2)+3 plot(f(x), (x, 0, 5))+plot(g(x), (x, 2, 5), color='red')+plot(h(x), (x, 0, 5),color='black')+plot(t(x), (x, 2, 5), color='green')
f(x)=log(abs(x), 10) plot(f, (x, -3, 3), ymin=-1)
f(x)=abs(log(x, 10)) plot(f, (x, 0, 3))
solve((1/2)^x==4,x)
 [x == -2] [x == -2]
solve(1/27==x^(-1),x)
 [x == 27] [x == 27]
show(solve(1/27==x^(-1),x))
 \newcommand{\Bold}[1]{\mathbf{#1}}\left[x = 27\right]
solve(exp(3+3*x)==exp(-8*x), x)
 [x == (-3/11)] [x == (-3/11)]
f(x)=sin(x) g(x)=cos(x) plot(f(x), (x, -pi, 3*pi))+plot((g(x), (x),-pi,3*pi))
solve(x^2/3==4,x)
 [x == -2*sqrt(3), x == 2*sqrt(3)] [x == -2*sqrt(3), x == 2*sqrt(3)]
solve(x^2==4,x)
 [x == -2, x == 2] [x == -2, x == 2]
show(solve(log(x,16)==1/2,x))
 \newcommand{\Bold}[1]{\mathbf{#1}}\left[x = e^{\left(\frac{1}{2} \, \log\left(16\right)\right)}\right]
solve(log(log(x,2),2)==1,x)
 [x == 4] [x == 4]
solve(log(x^2)==(log(x))^2,x)
 [log(x^2) == log(x)^2] [log(x^2) == log(x)^2]
f(x)=cos(x) plot(f(x), (x, -pi, 3*pi))
f(x)=tan(x) plot(f(x), (x, -pi, 3*pi), ymax=5, ymin=-5)
f(x)=sin(x) g(x)=2*sin(x) h(x)=(1/2)*sin(x) i(x)=(1/4)*sin(x) p1=plot(f(x), (x, -2*pi, 2*pi)) p2=plot(g(x), (x, -2*pi, 2*pi), color='red') p3=plot(h(x), (x, -2*pi, 2*pi), color='green') p4=plot(i(x), (x, -2*pi, 2*pi), color='yellow') p1+p2+p3+p4
f(x)=sin(x) t(x)=sin(2*x) u(x)=sin((1/2)*x) p1=plot(f(x), (x, -2*pi, 2*pi)) p4=plot(t(x), (x, -2*pi, 2*pi), color='black') p5=plot(u(x), (x, -2*pi, 2*pi), color='yellow') p1+p4+p5
f(x)=cos(x) g(x)=cos(x-1)+2 plot(f(x), (x, -2*pi, 2*pi))+plot(g(x), (x, -2*pi, 2*pi), color='cyan')+plot(1, (x, -2*pi, 2*pi), color='black')
f(x)=sin(abs(x)) plot(f(x), (x, -2*pi, 2*pi))
f(x)=cot(x) plot(f(x), (x, -2*pi, 2*pi), ymax=10000, ymin=-10000, thickness='.5')
f(x)=cot(x) g(x)=tan(x) plot(f(x), (x, -2*pi, 2*pi), ymax=10, ymin=-10)+plot(g(x), (x, -2*pi, 2*pi), ymax=10, ymin=-10, color='red')
f(x)=csc(x) g(x)=sin(x) plot(f(x), (x, -2*pi, 2*pi), ymax=10, ymin=-10)+plot(g(x), (x, -2*pi, 2*pi), ymax=10, ymin=-10, color='red')
f(x)=sec(x) plot(f(x), (x, -pi, pi), ymax=10, ymin=-10)
var('x,y') implicit_plot(x^2+y^2==4, (x,-2,2), (y,-2,2))
f(x)=(x+2)^2 plot(f(x), x, -10, 10)