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Derivative of:
Derivative of y=cosx/x
Derivative of (x^3+2x)^37
Derivative of (x^2-7*x+10)/(x^2+5+6)
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Identical expressions
16x-x^(two)*sqrt(three)
16x minus x to the power of (2) multiply by square root of (3)
16x minus x to the power of (two) multiply by square root of (three)
16x-x^(2)*√(3)
16x-x(2)*sqrt(3)
16x-x2*sqrt3
16x-x^(2)sqrt(3)
16x-x(2)sqrt(3)
16x-x2sqrt3
16x-x^2sqrt3
Similar expressions
16x+x^(2)*sqrt(3)

The derivative of the function/ 16x-x^(2)*sqrt(3)

Derivative of 16x-x^(2)*sqrt(3)

The solution

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        2   ___
16*x - x *\/ 3

$$- \sqrt{3} x^{2} + 16 x$$

16*x - x^2*sqrt(3)

Detail solution

Differentiate $- \sqrt{3} x^{2} + 16 x$ 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: $x$ goes to $1$
  So, the result is: $16$
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: $- 2 \sqrt{3} x$
The result is: $- 2 \sqrt{3} x + 16$

The answer is:

$- 2 \sqrt{3} x + 16$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

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16 - 2*x*\/ 3

$$- 2 \sqrt{3} x + 16$$

Simplify

The second derivative [src]

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-2*\/ 3

$$- 2 \sqrt{3}$$

Simplify

The third derivative [src]

$$0$$

Simplify