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Popular >

derivative of 2xy^4-3

Solution

\frac{d}{d x} (2 x y^{4} - 3)

Solution

2 (4 x y^{3} \frac{d y}{d x} + y^{4})

Solution steps

\frac{d}{d x} (2 x y^{4} - 3)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 x y^{4}) - \frac{d}{d x} (3)

\frac{d}{d x} (2 x y^{4}) = 2 (y^{4} + 4 x y^{3} \frac{d y}{d x})

\frac{d}{d x} (3) = 0

= 2 (y^{4} + 4 x y^{3} \frac{d y}{d x}) - 0

Simplify

= 2 (4 x y^{3} \frac{d y}{d x} + y^{4})

Popular Examples

(\partial)/(\partial x)(2x^3y+sin(x^3))

\frac{\partial}{\partial x} (2 x^{3} y + sin (x^{3}))

y^{^{'}} + 4 y = sin (3 t)

integral of (2x^2+3x)^3

\int (2 x^{2} + 3 x)^{3} d x

derivative of y=(f(x))/(x^5)derivative of

y = \frac{f ( x )}{x ^{5}}

derivative of 2tan^2(7x)derivative of

2 tan^{2} (7 x)

Frequently Asked Questions (FAQ)

What is the derivative of 2xy^4-3 ?
The derivative of 2xy^4-3 is 2(4xy^3(dy)/(dx)+y^4)
What is the first derivative of 2xy^4-3 ?
The first derivative of 2xy^4-3 is 2(4xy^3(dy)/(dx)+y^4)