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Popular >

derivative of 4x^3+6x^2-5

Solution

\frac{d}{d x} (4 x^{3} + 6 x^{2} - 5)

Solution

12 x^{2} + 12 x

Solution steps

\frac{d}{d x} (4 x^{3} + 6 x^{2} - 5)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 x^{3}) + \frac{d}{d x} (6 x^{2}) - \frac{d}{d x} (5)

\frac{d}{d x} (4 x^{3}) = 12 x^{2}

\frac{d}{d x} (6 x^{2}) = 12 x

\frac{d}{d x} (5) = 0

= 12 x^{2} + 12 x - 0

Simplify

= 12 x^{2} + 12 x

Popular Examples

(\partial)/(\partial x)(x^4-4x^3y+6x^2y^2)

\frac{\partial}{\partial x} (x^{4} - 4 x^{3} y + 6 x^{2} y^{2})

slope of-3x^2-2xy+3y^3=57,(-4,3)slope

- 3 x^{2} - 2 x y + 3 y^{3} = 57, (- 4, 3)

y d y = x + 1 d x

integral of 1/(1-sin(1/2 x))

\int \frac{1}{1 - sin ( \frac{1}{2} x )} d x

t^2y^{''}+ty^'+4y=0

t^{2} y^{^{''}} + t y^{^{'}} + 4 y = 0

Frequently Asked Questions (FAQ)

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