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- Derivative of:
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Derivative of 1/x^5
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Derivative of x^7*e^x
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Derivative of x^5*cos(x)
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Derivative of x/3+3/x
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Identical expressions
- y=e^cosh3x
- y equally e to the power of hyperbolic co sinus of e of ine of 3x
- y=ecosh3x
Derivative of y=e^cosh3x
The solution
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cosh(3*x) e
$$e^{\cosh{\left(3 x \right)}}$$
d / cosh(3*x)\ --\e / dx
$$\frac{d}{d x} e^{\cosh{\left(3 x \right)}}$$
The first derivative
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cosh(3*x) 3*e *sinh(3*x)
$$3 e^{\cosh{\left(3 x \right)}} \sinh{\left(3 x \right)}$$
The second derivative
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/ 2 \ cosh(3*x) 9*\sinh (3*x) + cosh(3*x)/*e
$$9 \left(\sinh^{2}{\left(3 x \right)} + \cosh{\left(3 x \right)}\right) e^{\cosh{\left(3 x \right)}}$$
The third derivative
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/ 2 \ cosh(3*x) 27*\1 + sinh (3*x) + 3*cosh(3*x)/*e *sinh(3*x)
$$27 \left(\sinh^{2}{\left(3 x \right)} + 3 \cosh{\left(3 x \right)} + 1\right) e^{\cosh{\left(3 x \right)}} \sinh{\left(3 x \right)}$$
The graph