What is the derivative of (0.07e^x/(sin(x))) ?

The derivative of (0.07e^x/(sin(x))) is 0.07(e^xcsc(x)-e^xcot(x)csc(x))

What is the first derivative of (0.07e^x/(sin(x))) ?

The first derivative of (0.07e^x/(sin(x))) is 0.07(e^xcsc(x)-e^xcot(x)csc(x))

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\frac{d}{d x} (\frac{0.07 e ^{x}}{sin ( x )})

0.07 (e^{x} csc (x) - e^{x} cot (x) csc (x))

Solution steps

\frac{d}{d x} (\frac{0.07 e ^{x}}{sin ( x )})

Simplify

\frac{0.07 e ^{x}}{sin ( x )} : 0.07 e^{x} csc (x)

= \frac{d}{d x} (0.07 e^{x} csc (x))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 0.07 \frac{d}{d x} (e^{x} csc (x))

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = e^{x}, g = csc (x)

= 0.07 (\frac{d}{d x} (e^{x}) csc (x) + \frac{d}{d x} (csc (x)) e^{x})

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

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

= 0.07 (e^{x} csc (x) + (- cot (x) csc (x)) e^{x})

Simplify

= 0.07 (e^{x} csc (x) - e^{x} cot (x) csc (x))

y = (x - 2)^{x + 1}

\frac{d x}{d t} = x^{2} - x

\int \frac{1}{x ^{2} + 64} d x

\frac{d}{d x} (\frac{x + 1}{e ^{x}})

f (x) = \frac{x ^{2} + 2 x - 5}{( x + 1 ) ^{2}}

What is the derivative of (0.07e^x/(sin(x))) ?
The derivative of (0.07e^x/(sin(x))) is 0.07(e^xcsc(x)-e^xcot(x)csc(x))
What is the first derivative of (0.07e^x/(sin(x))) ?
The first derivative of (0.07e^x/(sin(x))) is 0.07(e^xcsc(x)-e^xcot(x)csc(x))