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Popular >

derivative of 3cosh(3x-sinh(3x))

Solution

\frac{d}{d x} (3 cosh (3 x) - sinh (3 x))

Solution

9 sinh (3 x) - cosh (3 x) \cdot 3

Solution steps

\frac{d}{d x} (3 cosh (3 x) - sinh (3 x))

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (3 cosh (3 x)) - \frac{d}{d x} (sinh (3 x))

\frac{d}{d x} (3 cosh (3 x)) = 9 sinh (3 x)

\frac{d}{d x} (sinh (3 x)) = cosh (3 x) \cdot 3

= 9 sinh (3 x) - cosh (3 x) \cdot 3

Popular Examples

limit as x approaches infinity of e^{4x}

x \to \infty lim (e^{4 x})

(\partial)/(\partial x)(5y^3e^{x-2}-2xy)

\frac{\partial}{\partial x} (5 y^{3} e^{x - 2} - 2 x y)

integral of (xe^{-x^2}+(e^x)/(e^x+3))

\int (x e^{- x^{2}} + \frac{e ^{x}}{e ^{x} + 3}) d x

integral from-2 to 3 of (15)/(x^4)

\int_{- 2}^{3} \frac{15}{x ^{4}} d x

(dy)/(dx)=-(3-y)^2

\frac{d y}{d x} = - (3 - y)^{2}

Frequently Asked Questions (FAQ)

What is the derivative of 3cosh(3x-sinh(3x)) ?
The derivative of 3cosh(3x-sinh(3x)) is 9sinh(3x)-cosh(3x)*3
What is the first derivative of 3cosh(3x-sinh(3x)) ?
The first derivative of 3cosh(3x-sinh(3x)) is 9sinh(3x)-cosh(3x)*3