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Popular >

derivative of-4e^xsin(x)

Solution

\frac{d}{d x} (- 4 e^{x} sin (x))

Solution

- 4 (e^{x} sin (x) + cos (x) e^{x})

Solution steps

\frac{d}{d x} (- 4 e^{x} sin (x))

Take the constant out:

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

= - 4 \frac{d}{d x} (e^{x} sin (x))

Apply the Product Rule:

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

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

= - 4 (\frac{d}{d x} (e^{x}) sin (x) + \frac{d}{d x} (sin (x)) e^{x})

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

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

= - 4 (e^{x} sin (x) + cos (x) e^{x})

Graph

Popular Examples

integral of 1/(x^4sqrt(16-25x^2))

\int \frac{1}{x ^{4} 16 - 25 x ^{2}} d x

derivative of (x^2-16/(x+4))

\frac{d}{d x} (\frac{x ^{2} - 16}{x + 4})

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

(x^{2} + 3) (x^{2} - 3) x^{2}

integral of sec^2(x)tan^2(x)

\int sec^{2} (x) tan^{2} (x) d x

derivative of 5000(1-1/40 t)^2 derivative of

5000 (1 - \frac{1}{40} t)^{2}

Frequently Asked Questions (FAQ)

What is the derivative of-4e^xsin(x) ?
The derivative of-4e^xsin(x) is -4(e^xsin(x)+cos(x)e^x)
What is the first derivative of-4e^xsin(x) ?
The first derivative of-4e^xsin(x) is -4(e^xsin(x)+cos(x)e^x)