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- Derivative of a implicit defined function
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How to use it?
- Derivative of:
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Derivative of sinx^3
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Derivative of f(x)=2x^3
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Derivative of y=tanh(1-3x)
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Derivative of y=sqrt(sin4x)
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Identical expressions
- y=tanh(one -3x)
- y equally hyperbolic tangent of gent of (1 minus 3x)
- y equally hyperbolic tangent of gent of (one minus 3x)
- y=tanh1-3x
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Similar expressions
- y=tanh(1+3x)
Derivative of y=tanh(1-3x)
The solution
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tanh(1 - 3*x)
$$\tanh{\left(- 3 x + 1 \right)}$$
d --(tanh(1 - 3*x)) dx
$$\frac{d}{d x} \tanh{\left(- 3 x + 1 \right)}$$
The second derivative
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/ 2 \ -18*\-1 + tanh (-1 + 3*x)/*tanh(-1 + 3*x)
$$- 18 \left(\tanh^{2}{\left(3 x - 1 \right)} - 1\right) \tanh{\left(3 x - 1 \right)}$$
The third derivative
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/ 2 \ / 2 \ 54*\-1 + tanh (-1 + 3*x)/*\-1 + 3*tanh (-1 + 3*x)/
$$54 \left(\tanh^{2}{\left(3 x - 1 \right)} - 1\right) \left(3 \tanh^{2}{\left(3 x - 1 \right)} - 1\right)$$
The graph