Derivative of sh(x)cos(3x)

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sinh(x)*cos(3*x)

$$\cos{\left(3 x \right)} \sinh{\left(x \right)}$$

d                   
--(sinh(x)*cos(3*x))
dx

$$\frac{d}{d x} \cos{\left(3 x \right)} \sinh{\left(x \right)}$$

Transform

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

cos(3*x)*cosh(x) - 3*sin(3*x)*sinh(x)

$$- 3 \sin{\left(3 x \right)} \sinh{\left(x \right)} + \cos{\left(3 x \right)} \cosh{\left(x \right)}$$

Simplify

The second derivative [src]

-2*(3*cosh(x)*sin(3*x) + 4*cos(3*x)*sinh(x))

$$- 2 \cdot \left(3 \sin{\left(3 x \right)} \cosh{\left(x \right)} + 4 \cos{\left(3 x \right)} \sinh{\left(x \right)}\right)$$

Simplify

The third derivative [src]

2*(-13*cos(3*x)*cosh(x) + 9*sin(3*x)*sinh(x))

$$2 \cdot \left(9 \sin{\left(3 x \right)} \sinh{\left(x \right)} - 13 \cos{\left(3 x \right)} \cosh{\left(x \right)}\right)$$

Simplify

4-я производная [src]

4*(7*cos(3*x)*sinh(x) + 24*cosh(x)*sin(3*x))

$$4 \cdot \left(24 \sin{\left(3 x \right)} \cosh{\left(x \right)} + 7 \cos{\left(3 x \right)} \sinh{\left(x \right)}\right)$$

Simplify

The graph