## How do you take a derivative with respect to time?

Derivatives with respect to time

- Velocity is the derivative of position with respect to time: v(t)=ddt(x(t)).
- Acceleration is the derivative of velocity with respect to time: a(t)=ddt(v(t))=d2dt2(x(t)).

## How do you differentiate in Matlab?

Differentiation

- syms x f = sin(5*x); The command.
- diff(f) differentiates f with respect to x :
- ans = 5*cos(5*x) As another example, let.
- g = exp(x)*cos(x);
- y = exp(x)*cos(x) – exp(x)*sin(x)
- ans = -9.7937820180676088383807818261614.
- ans = -2*exp(x)*sin(x)
- ans = -2*exp(x)*sin(x)

**How do you differentiate an array in Matlab?**

Y = diff( X ) calculates differences between adjacent elements of X along the first array dimension whose size does not equal 1: If X is a vector of length m , then Y = diff(X) returns a vector of length m-1 . The elements of Y are the differences between adjacent elements of X .

### How do you plot a derivative in Matlab?

Direct link to this answer

- Call polyfit to generate your polynomial (if you don’t already have a polynomial)
- Call polyder to get derivative of your fitted line.
- Call polyval with your original X values to get the Y values of your derivative and plot that with hold on so it doesn’t erase your original plot.

### Why do we differentiate with respect to time?

For example if you are given the displacement an object as a function of time and you want to know its velocity at a particular point of time, you need to find the derivative of the displacement function with respect to time to get velocity as a function of time (because velocity is the rate of change of displacement …

**What is the rate of change with respect to time?**

Velocity is the rate of change of distance with respect to time.

#### What does Syms mean in MATLAB?

symbolic object

The syms function creates a symbolic object that is automatically assigned to a MATLAB® variable with the same name. The sym function refers to a symbolic object that can be assigned to a MATLAB variable with the same name or a different name.

#### What is difference between vector and matrix in MATLAB?

In MATLAB terminology, both vectors and matrices are arrays of numerical values. Technically, a vector is a form of a matrix having one row or one column (read about isvector and ismatrix commands for more information). Vectors are a subclass of matrices, so every vector is a matrix.

**How does Matlab calculate dy dx?**

Use diff and == to represent differential equations. For example, diff(y,x) == y represents the equation dy/dx = y. Solve a system of differential equations by specifying eqn as a vector of those equations. S = dsolve( eqn , cond ) solves eqn with the initial or boundary condition cond .

## How to differentiate a symbolic expression in MATLAB?

Df = diff (f) differentiates f with respect to the symbolic variable determined by symvar (f,1). Df = diff (f,n) computes the n th derivative of f with respect to the symbolic variable determined by symvar.

## How to differentiate a multivariate expression in MATLAB?

If you differentiate a multivariate expression or function F without specifying the differentiation variable, then a nested call to diff and diff (F,n) can return different results. This is because in a nested call, each differentiation step determines and uses its own differentiation variable.

**How to determine the default variable in MATLAB?**

To determine the default variable that MATLAB differentiates with respect to, use symvar: Calculate the second derivative of f with respect to t: Note that diff (f, 2) returns the same answer because t is the default variable. To further illustrate the diff command, define a, b, x, n, t , and theta in the MATLAB workspace by entering

### Can you find the derivative of G twice in MATLAB?

Find the derivative of g at x = 2. You can get the same result by taking the derivative twice: In this example, MATLAB ® software automatically simplifies the answer. However, in some cases, MATLAB might not simplify an answer, in which case you can use the simplify command.