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Identical expressions
y=e^x-x^ seven
y equally e to the power of x minus x to the power of 7
y equally e to the power of x minus x to the power of seven
y=ex-x7
y=e^x-x⁷
Similar expressions
y=e^x+x^7

The derivative of the function/ y=e^x-x^7

Derivative of y=e^x-x^7

The solution

You have entered [src]

 x    7
e  - x

$$- x^{7} + e^{x}$$

d / x    7\
--\e  - x /
dx

$$\frac{d}{d x} \left(- x^{7} + e^{x}\right)$$

Transform

Detail solution

Differentiate $- x^{7} + e^{x}$ term by term:
1. The derivative of $e^{x}$ is itself.
2. The derivative of a constant times a function is the constant times the derivative of the function.
  1. Apply the power rule: $x^{7}$ goes to $7 x^{6}$
  So, the result is: $- 7 x^{6}$
The result is: $- 7 x^{6} + e^{x}$

The answer is:

$- 7 x^{6} + e^{x}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

 x      6
e  - 7*x

$$- 7 x^{6} + e^{x}$$

Simplify

The second derivative [src]

      5    x
- 42*x  + e

$$- 42 x^{5} + e^{x}$$

Simplify

The third derivative [src]

       4    x
- 210*x  + e

$$- 210 x^{4} + e^{x}$$

Simplify

The graph

Derivative of y=e^x-x^7