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6*x^4-9*e^x
The derivative of the function/ 6*x^4-9*e^x

Derivative of 6*x^4-9*e^x

Function f() - derivative -N order at the point
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
   4      x
6*x  - 9*E
$$- 9 e^{x} + 6 x^{4}$$ 
6*x^4 - 9*exp(x)
Detail solution

  1. Differentiate term by term:

    1. The derivative of a constant times a function is the constant times the derivative of the function.

      1. Apply the power rule: goes to

      So, the result is:

    2. The derivative of a constant times a function is the constant times the derivative of the function.

      1. The derivative of is itself.

      So, the result is:

    The result is:

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
     x       3
- 9*e  + 24*x
$$24 x^{3} - 9 e^{x}$$
Simplify
The second derivative [src] 
  /   x      2\
9*\- e  + 8*x /
$$9 \left(8 x^{2} - e^{x}\right)$$
Simplify
The third derivative [src] 
  /   x       \
9*\- e  + 16*x/
$$9 \left(16 x - e^{x}\right)$$
Simplify
The graph
Derivative of 6*x^4-9*e^x
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