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Popular >

derivative of f(x)=4x^4+3x^2-1

Solution

derivative of

f (x) = 4 x^{4} + 3 x^{2} - 1

Solution

16 x^{3} + 6 x

Solution steps

\frac{d}{d x} (4 x^{4} + 3 x^{2} - 1)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 x^{4}) + \frac{d}{d x} (3 x^{2}) - \frac{d}{d x} (1)

\frac{d}{d x} (4 x^{4}) = 16 x^{3}

\frac{d}{d x} (3 x^{2}) = 6 x

\frac{d}{d x} (1) = 0

= 16 x^{3} + 6 x - 0

Simplify

= 16 x^{3} + 6 x

Popular Examples

\frac{d y}{d x} = 4 y x

integral of cos^7(x)

\int cos^{7} (x) d x

(\partial)/(\partial x)(ln(4+x^2y^2))

\frac{\partial}{\partial x} (ln (4 + x^{2} y^{2}))

tangent of (x^2+y^2)^2=4x^2y,(1,1)tangent of

(x^{2} + y^{2})^{2} = 4 x^{2} y, (1, 1)

integral of (-12)/(x^2sqrt(4-x^2))

\int \frac{- 12}{x ^{2} 4 - x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=4x^4+3x^2-1 ?
The derivative of f(x)=4x^4+3x^2-1 is 16x^3+6x
What is the first derivative of f(x)=4x^4+3x^2-1 ?
The first derivative of f(x)=4x^4+3x^2-1 is 16x^3+6x