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y=lnx-2x^2
The derivative of the function/ y=lnx-2x^2

Derivative of y=lnx-2x^2

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
            2
log(x) - 2*x
$$- 2 x^{2} + \log{\left(x \right)}$$ 
log(x) - 2*x^2
Detail solution

  1. Differentiate term by term:

    1. The derivative of is .

    2. 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:

    The result is:

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
1      
- - 4*x
x
$$- 4 x + \frac{1}{x}$$
Simplify
The second derivative [src] 
 /    1 \
-|4 + --|
 |     2|
 \    x /
$$- (4 + \frac{1}{x^{2}})$$
Simplify
The third derivative [src] 
2 
--
 3
x
$$\frac{2}{x^{3}}$$
Simplify
The graph
Derivative of y=lnx-2x^2
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