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Derivative of:
Derivative of x^-6
Derivative of x*2^x
Derivative of (x^2)/36
Derivative of sin(x)+3
Graphing y =:
x^2-3*sin(x)
Identical expressions
x^ two - three *sin(x)
x squared minus 3 multiply by sinus of (x)
x to the power of two minus three multiply by sinus of (x)
x2-3*sin(x)
x2-3*sinx
x²-3*sin(x)
x to the power of 2-3*sin(x)
x^2-3sin(x)
x2-3sin(x)
x2-3sinx
x^2-3sinx
Similar expressions
x^2+3*sin(x)
x^2-3*sinx

The derivative of the function/ x^2-3*sin(x)

Derivative of x^2-3*sin(x)

The solution

You have entered [src]

 2           
x  - 3*sin(x)

$$x^{2} - 3 \sin{\left(x \right)}$$

x^2 - 3*sin(x)

Detail solution

Differentiate $x^{2} - 3 \sin{\left(x \right)}$ term by term:
1. Apply the power rule: $x^{2}$ goes to $2 x$
2. The derivative of a constant times a function is the constant times the derivative of the function.
  1. The derivative of sine is cosine:
    
    $\frac{d}{d x} \sin{\left(x \right)} = \cos{\left(x \right)}$
  So, the result is: $- 3 \cos{\left(x \right)}$
The result is: $2 x - 3 \cos{\left(x \right)}$

The answer is:

$2 x - 3 \cos{\left(x \right)}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-3*cos(x) + 2*x

$$2 x - 3 \cos{\left(x \right)}$$

Simplify

The second derivative [src]

2 + 3*sin(x)

$$3 \sin{\left(x \right)} + 2$$

Simplify

The third derivative [src]

3*cos(x)

$$3 \cos{\left(x \right)}$$

Simplify

The graph

Derivative of x^2-3*sin(x)