How to use MATLAB to find differentiation and evaluate values?

Methods for differentiating and evaluating with MATLAB:

f =x^2+exp(x^2)+sin(x)*cos(2*x+1)

1、diff(s,'v'): For the symbol variable v specified in the symbol object s, find its 1st derivative.

2. diff(s): finds the 1st derivative of the default independent variable in the symbol object s.

3. diff(s,n): Finds the nth derivative of the default independent variable in the symbol object S.

4、diff(s,'v',n): Finds the nth derivative of the symbolic variable v specified in the symbolic object s.

i.e.: > syms x n

y=sin(x)^n*cos(n*x);

xd=diff(y)

xd =sin(x)^n*n*cos(x)/sin(x)*cos(n*x)-sin(x)^n*sin(n*x)*n

nd=diff(y, n)

nd =sin(x)^n*log(sin(x))*cos(n*x)-sin(x)^n*sin(n*x)*x

The differential value should be obtained by following the above method and then calling the function subs() to complete the evaluation.

MATLAB is a commercial mathematics software produced by Mathworks. MATLAB is an abbreviation for Matrix Laboratory. MATLAB is a high-level technical computing language and interactive environment for algorithm development, data visualization, data analysis, and numerical computation, including MATLAB and Simulink.

MATLAB is currently only available in English and Japanese, not Chinese.

The function diff( ) provided by MATLAB can be used to solve the differentiation of symbolic objects, and is called in the format of .

1) diff(s,'v'): For the symbol variable v specified in the symbol object s, find its 1st derivative.

2. diff(s): finds the 1st derivative of the default independent variable in the symbol object s.

3. diff(s,n): Finds the nth derivative of the default independent variable in the symbol object S.

4) diff(s,'v',n): Finds the nth derivative of the symbolic variable v specified in the symbolic object s.

Here's an example of how to use it:

syms x n

y=sin(x)^n*cos(n*x);

xd=diff(y)

xd =sin(x)^n*n*cos(x)/sin(x)*cos(n*x)-sin(x)^n*sin(n*x)*n

nd=diff(y, n)

nd =sin(x)^n*log(sin(x))*cos(n*x)-sin(x)^n*sin(n*x)*x

As for the differential value you request, follow the method described above and then call the function subs() to complete the value you have evaluated, for example.

subs(xd, x, 2), where xd is the differential expression, x is the independent variable, and 2 is the specified point.

Solution: Give a few solutions to differential equations.

The case of Wang's waiter is sleepy and noisy.

The process of solving differential equations.