What is the derivative of cos(x+cot(x)+csc(x)+3e^x) ?

The derivative of cos(x+cot(x)+csc(x)+3e^x) is -sin(x)-csc^2(x)-cot(x)csc(x)+3e^x

What is the first derivative of cos(x+cot(x)+csc(x)+3e^x) ?

The first derivative of cos(x+cot(x)+csc(x)+3e^x) is -sin(x)-csc^2(x)-cot(x)csc(x)+3e^x

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\frac{d}{d x} (cos (x) + cot (x) + csc (x) + 3 e^{x})

- sin (x) - csc^{2} (x) - cot (x) csc (x) + 3 e^{x}

Solution steps

\frac{d}{d x} (cos (x) + cot (x) + csc (x) + 3 e^{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (cos (x)) + \frac{d}{d x} (cot (x)) + \frac{d}{d x} (csc (x)) + \frac{d}{d x} (3 e^{x})

\frac{d}{d x} (cos (x)) = - sin (x)

\frac{d}{d x} (cot (x)) = - csc^{2} (x)

\frac{d}{d x} (csc (x)) = - cot (x) csc (x)

\frac{d}{d x} (3 e^{x}) = 3 e^{x}

= - sin (x) - csc^{2} (x) - cot (x) csc (x) + 3 e^{x}

n = 0 \sum \infty (\frac{2}{3})^{- n}

f (x) = \frac{7 ^{x}}{x ^{3}}

\frac{\partial}{\partial y} (x^{3} y^{3})

\int_{1}^{3} \frac{1}{1 + x ^{2}} d x

arctan (3 x^{2} - 1)

What is the derivative of cos(x+cot(x)+csc(x)+3e^x) ?
The derivative of cos(x+cot(x)+csc(x)+3e^x) is -sin(x)-csc^2(x)-cot(x)csc(x)+3e^x
What is the first derivative of cos(x+cot(x)+csc(x)+3e^x) ?
The first derivative of cos(x+cot(x)+csc(x)+3e^x) is -sin(x)-csc^2(x)-cot(x)csc(x)+3e^x