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Popular >

derivative of sin(4x+7x^4+e^{1-x^2})

Solution

\frac{d}{d x} (sin (4 x + 7 x^{4}) + e^{1 - x^{2}})

Solution

cos (4 x + 7 x^{4}) (4 + 28 x^{3}) - 2 e^{1 - x^{2}} x

Solution steps

\frac{d}{d x} (sin (4 x + 7 x^{4}) + e^{1 - x^{2}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (sin (4 x + 7 x^{4})) + \frac{d}{d x} (e^{1 - x^{2}})

\frac{d}{d x} (sin (4 x + 7 x^{4})) = cos (4 x + 7 x^{4}) (4 + 28 x^{3})

\frac{d}{d x} (e^{1 - x^{2}}) = - 2 e^{1 - x^{2}} x

= cos (4 x + 7 x^{4}) (4 + 28 x^{3}) - 2 e^{1 - x^{2}} x

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of sin(4x+7x^4+e^{1-x^2}) ?
The derivative of sin(4x+7x^4+e^{1-x^2}) is cos(4x+7x^4)(4+28x^3)-2e^{1-x^2}x
What is the first derivative of sin(4x+7x^4+e^{1-x^2}) ?
The first derivative of sin(4x+7x^4+e^{1-x^2}) is cos(4x+7x^4)(4+28x^3)-2e^{1-x^2}x