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- Derivative of a implicit defined function
- Derivative of Parametric Function
- Partial derivative of the function
- Curve tracing functions Step by Step
- Integral Step by Step
- Differential equations Step by Step
- Limits Step by Step
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How to use it?
- Derivative of:
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Derivative of 7*x
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Derivative of 5*x
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Derivative of 2-x
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Derivative of x^(3*x)
- Integral of d{x}:
- x^(3*x)
- Limit of the function:
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x^(3*x)
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Identical expressions
- x^(three *x)
- x to the power of (3 multiply by x)
- x to the power of (three multiply by x)
- x(3*x)
- x3*x
- x^(3x)
- x(3x)
- x3x
- x^3x
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Similar expressions
- y=((x^3)*(x^(-2)))/x
- 3^(2^x*log(x)^3*x)
- x^3*(x+2)^2
- y=x^3(x^2–5)
- (1/9)*x^3*(x+4)
Derivative of x^(3*x)
The solution
Detail solution
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Don't know the steps in finding this derivative.
But the derivative is
The answer is:
The first derivative
[src]
3*x x *(3 + 3*log(x))
$$x^{3 x} \left(3 \log{\left(x \right)} + 3\right)$$
The second derivative
[src]
3*x /1 2\
3*x *|- + 3*(1 + log(x)) |
\x /
$$3 x^{3 x} \left(3 \left(\log{\left(x \right)} + 1\right)^{2} + \frac{1}{x}\right)$$
The third derivative
[src]
3*x / 1 3 9*(1 + log(x))\
3*x *|- -- + 9*(1 + log(x)) + --------------|
| 2 x |
\ x /
$$3 x^{3 x} \left(9 \left(\log{\left(x \right)} + 1\right)^{3} + \frac{9 \left(\log{\left(x \right)} + 1\right)}{x} - \frac{1}{x^{2}}\right)$$
The graph