>> %HARJOITUKSET
>> %1. e^x = -x^2+2x+6
>> x=-2:0.01:4;
>> f1=exp(x);
>> f2=-x^2+2*x+6;
Error using  ^  (line 51)
Incorrect dimensions for raising a matrix to a power.
Check that the matrix is square and the power is a
scalar. To perform elementwise matrix powers, use '.^'.

>> f2=-x.^2+2*x+6;
>> figure
>> plot(x,f1,x,f2)
>> grid
>> %Kuvasta nähdään, että leikkauspisteet ovat likimain
>> > % -1.57 ja 1.88
 > % -1.57 ja 1.88
 ↑
Error: Invalid use of operator.

>> %Määritetään derivaatta
>> syms x
>> diff(exp(x)+x.^2-2*x-6)

ans =

2*x + exp(x) - 2

>> %ratkaisut
>> x=-1.57;
>> delta=100;
>> while(delta>0.000001)
f=exp(x)+x.^2-2*x-6;
Df=2*x+exp(x)-2;
X=x-f/Df;
delta=abs(X-x);
x=X;
end
>> x

x =

   -1.6076


>> x=1.88;
>> delta=100;
>> while(delta>0.000001)
f=exp(x)+x.^2-2*x-6;
Df=2*x+exp(x)-2;
X=x-f/Df;
delta=abs(X-x);
x=X;
end
>> x

x =

    1.8397

>> % Vastukest ovat x= -1.6076 ja 1.8397
>>
>>
>> %Harjoitus 2
>> %6cos(x) = 2x+1