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y=log(5)*(3x^2-5)

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Derivative of:
Derivative of -2/x
Derivative of 4/x
Derivative of 9/x
Derivative of x*acos(x)
Identical expressions
y=log(five)*(3x^ two - five)
y equally logarithm of (5) multiply by (3x squared minus 5)
y equally logarithm of (five) multiply by (3x to the power of two minus five)
y=log(5)*(3x2-5)
y=log5*3x2-5
y=log(5)*(3x²-5)
y=log(5)*(3x to the power of 2-5)
y=log(5)(3x^2-5)
y=log(5)(3x2-5)
y=log53x2-5
y=log53x^2-5
Similar expressions
y=log(5)*(3x^2+5)

The derivative of the function/ y=log(5)*(3x^2-5)

Derivative of y=log(5)*(3x^2-5)

The solution

You have entered [src]

       /   2    \
log(5)*\3*x  - 5/

$$\left(3 x^{2} - 5\right) \log{\left(5 \right)}$$

d /       /   2    \\
--\log(5)*\3*x  - 5//
dx

$$\frac{d}{d x} \left(3 x^{2} - 5\right) \log{\left(5 \right)}$$

Transform

Detail solution

The derivative of a constant times a function is the constant times the derivative of the function.
1. Differentiate $3 x^{2} - 5$ 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: $x^{2}$ goes to $2 x$
    So, the result is: $6 x$
  2. The derivative of the constant $\left(-1\right) 5$ is zero.
  The result is: $6 x$
So, the result is: $6 x \log{\left(5 \right)}$

The answer is:

$6 x \log{\left(5 \right)}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

6*x*log(5)

$$6 x \log{\left(5 \right)}$$

Simplify

The second derivative [src]

6*log(5)

$$6 \log{\left(5 \right)}$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph

Derivative of y=log(5)*(3x^2-5)