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Popular >

derivative of 7e^xcsc(x)

Solution

\frac{d}{d x} (7 e^{x} csc (x))

Solution

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

Solution steps

\frac{d}{d x} (7 e^{x} csc (x))

Take the constant out:

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

= 7 \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)

= 7 (\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)

= 7 (e^{x} csc (x) + (- cot (x) csc (x)) e^{x})

Simplify

= 7 (e^{x} csc (x) - e^{x} cot (x) csc (x))

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x \to 7.6 lim (8.6 x + 1.8)

tangent of f(x)=-x^2-4x+4,\at x=-2 tangent of

f (x) = - x^{2} - 4 x + 4, at x = - 2

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\frac{1 - 3 x + x ^{3}}{x ^{3}}

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\frac{d}{d x} (sin (x y))

derivative of (8x-x^2^3)

\frac{d}{d x} ((8 x - x^{2})^{3})

Frequently Asked Questions (FAQ)

What is the derivative of 7e^xcsc(x) ?
The derivative of 7e^xcsc(x) is 7(e^xcsc(x)-e^xcot(x)csc(x))
What is the first derivative of 7e^xcsc(x) ?
The first derivative of 7e^xcsc(x) is 7(e^xcsc(x)-e^xcot(x)csc(x))