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Popular >

derivative of x^4-2ax^2-y+3

Solution

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

Solution

4 x^{3} - 4 a x - \frac{d y}{d x}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (2 a x^{2}) = 4 a x

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

= 4 x^{3} - 4 a x - \frac{d y}{d x} + 0

Simplify

= 4 x^{3} - 4 a x - \frac{d y}{d x}

Popular Examples

integral from 0 to infinity of axe^{-ax}

\int_{0}^{\infty} a x e^{- a x} d x

integral of 2x(x^2+10)^3

\int 2 x (x^{2} + 10)^{3} d x

derivative of Ae^{2x}

\frac{d}{d x} (A e^{2 x})

integral of e^{8x}cos(5x)

\int e^{8 x} cos (5 x) d x

tangent of f(x)=2e^x+x,\at x=0 tangent of

f (x) = 2 e^{x} + x, at x = 0

Frequently Asked Questions (FAQ)

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