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Derivative of:
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Identical expressions
x^ six +7x^ two
x to the power of 6 plus 7x squared
x to the power of six plus 7x to the power of two
x6+7x2
x⁶+7x²
x to the power of 6+7x to the power of 2
Similar expressions
x^6-7x^2

The derivative of the function/ x^6+7x^2

Derivative of x^6+7x^2

The solution

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 6      2
x  + 7*x

$$x^{6} + 7 x^{2}$$

d / 6      2\
--\x  + 7*x /
dx

$$\frac{d}{d x} \left(x^{6} + 7 x^{2}\right)$$

Transform

Detail solution

Differentiate $x^{6} + 7 x^{2}$ term by term:
1. Apply the power rule: $x^{6}$ goes to $6 x^{5}$
2. The derivative of a constant times a function is the constant times the derivative of the function.
  1. Apply the power rule: $x^{2}$ goes to $2 x$
  So, the result is: $14 x$
The result is: $6 x^{5} + 14 x$

The answer is:

$6 x^{5} + 14 x$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

   5       
6*x  + 14*x

$$6 x^{5} + 14 x$$

Simplify

The second derivative [src]

  /        4\
2*\7 + 15*x /

$$2 \cdot \left(15 x^{4} + 7\right)$$

Simplify

The third derivative [src]

     3
120*x

$$120 x^{3}$$

Simplify

The graph

Derivative of x^6+7x^2