Rešitve maturitetne pole

Andrej Bauer

1. naloga

{1,2,3}+{x,y,z}

2*{x,y,z}

7^{x,y,z}

7^{x-2}

7^{1/2}

Solve[7^(x-2)==7^(1/2),x,Reals]

1. naloga

Solve[Log[7,expr]=(Sqrt[\[Placeholder]]),x]

(#^2+1)&

Function[x,(x^2)+1]

2. naloga

ClearAll[f]
f[x_]/;x>-1:=1
f[x_]/;x<=-1:=x+2

Plot[{f[x],x},{x,-4,4}]

Solve[f[x]==x,x]

Solve[1==x,x]

Manipulate[Plot[Sin[a*x],{x,-5,5}],{a,-3,3}]

Manipulate[
Plot[{f[x],k*x},{x,-8,8},PlotRange->{{-8,8},{-4,4}}],
{k,-2,2}
]

4. naloga

Clear[a]
a[n_]:=a1 + (n-1)*d

{a[2]+a[4]==26, a[3]+a[5]==34}

resitev=Solve[{a[2]+a[4]==26, a[3]+a[5]==34},{a1,d}]

((∑_(n=1)^50)a[n])/.resitev

f[x_]:=a*(x^3)+b*x

f'[x]

f'[4]

f'[4]==0

f'''''''''''[x]

D[Sin[(x^2)],{x,10}]