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Popular >

derivative of x^6+3x^4+7x^2

Solution

\frac{d}{d x} (x^{6} + 3 x^{4} + 7 x^{2})

Solution

6 x^{5} + 12 x^{3} + 14 x

Solution steps

\frac{d}{d x} (x^{6} + 3 x^{4} + 7 x^{2})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{6}) + \frac{d}{d x} (3 x^{4}) + \frac{d}{d x} (7 x^{2})

\frac{d}{d x} (x^{6}) = 6 x^{5}

\frac{d}{d x} (3 x^{4}) = 12 x^{3}

\frac{d}{d x} (7 x^{2}) = 14 x

= 6 x^{5} + 12 x^{3} + 14 x

Popular Examples

laplacetransform cos(pit)laplace transform

cos (π t)

f^{''}(x)=x^{(-3)/2},f^'(4)=2,f(0)=0

f^{^{''}} (x) = x^{\frac{- 3}{2}}, f^{^{'}} (4) = 2, f (0) = 0

(\partial)/(\partial x)(cos(x^6-7y))

\frac{\partial}{\partial x} (cos (x^{6} - 7 y))

integral from 0 to 1 of 7/(sqrt(x)(1+x))

\int_{0}^{1} \frac{7}{x ( 1 + x )} d x

(\partial)/(\partial y)(x)

\frac{\partial}{\partial y} (x)

Frequently Asked Questions (FAQ)

What is the derivative of x^6+3x^4+7x^2 ?
The derivative of x^6+3x^4+7x^2 is 6x^5+12x^3+14x
What is the first derivative of x^6+3x^4+7x^2 ?
The first derivative of x^6+3x^4+7x^2 is 6x^5+12x^3+14x