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Popular >

derivative of 14x^6-5x^4+15x^2-8

Solution

\frac{d}{d x} (14 x^{6} - 5 x^{4} + 15 x^{2} - 8)

Solution

84 x^{5} - 20 x^{3} + 30 x

Solution steps

\frac{d}{d x} (14 x^{6} - 5 x^{4} + 15 x^{2} - 8)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (14 x^{6}) - \frac{d}{d x} (5 x^{4}) + \frac{d}{d x} (15 x^{2}) - \frac{d}{d x} (8)

\frac{d}{d x} (14 x^{6}) = 84 x^{5}

\frac{d}{d x} (5 x^{4}) = 20 x^{3}

\frac{d}{d x} (15 x^{2}) = 30 x

\frac{d}{d x} (8) = 0

= 84 x^{5} - 20 x^{3} + 30 x - 0

Simplify

= 84 x^{5} - 20 x^{3} + 30 x

Popular Examples

derivative of f(x)=xe^{3x^2}+1 derivative of

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

tangent of 4/(x^5)-1/(x^2)tangent of

\frac{4}{x ^{5}} - \frac{1}{x ^{2}}

integral of (cos(x))/(1+8sin(x))

\int \frac{cos ( x )}{1 + 8 sin ( x )} d x

(dy)/(dx)=(x/y)

\frac{d y}{d x} = (\frac{x}{y})

taylor 4/x ,1 taylor

\frac{4}{x}, 1

Frequently Asked Questions (FAQ)

What is the derivative of 14x^6-5x^4+15x^2-8 ?
The derivative of 14x^6-5x^4+15x^2-8 is 84x^5-20x^3+30x
What is the first derivative of 14x^6-5x^4+15x^2-8 ?
The first derivative of 14x^6-5x^4+15x^2-8 is 84x^5-20x^3+30x