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Popular >

derivative of 25x^3-6x^2+7x-88

Solution

\frac{d}{d x} (25 x^{3} - 6 x^{2} + 7 x - 88)

Solution

75 x^{2} - 12 x + 7

Solution steps

\frac{d}{d x} (25 x^{3} - 6 x^{2} + 7 x - 88)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (25 x^{3}) - \frac{d}{d x} (6 x^{2}) + \frac{d}{d x} (7 x) - \frac{d}{d x} (88)

\frac{d}{d x} (25 x^{3}) = 75 x^{2}

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

\frac{d}{d x} (7 x) = 7

\frac{d}{d x} (88) = 0

= 75 x^{2} - 12 x + 7 - 0

Simplify

= 75 x^{2} - 12 x + 7

Popular Examples

(dy)/(dx)=0.1y(1-y/(500))

\frac{d y}{d x} = 0.1 y (1 - \frac{y}{500})

9y^{''}-24y^'+16y=0

9 y^{^{''}} - 24 y^{^{'}} + 16 y = 0

derivative of y= 1/((x^2-2)(x^2+x+5))derivative of

y = \frac{1}{( x ^{2} - 2 ) ( x ^{2} + x + 5 )}

tangent of y=5xcos(x),(pi,-5pi)tangent of

y = 5 x cos (x), (π, - 5 π)

derivative of y=csc^3(2x)derivative of

y = csc^{3} (2 x)

Frequently Asked Questions (FAQ)

What is the derivative of 25x^3-6x^2+7x-88 ?
The derivative of 25x^3-6x^2+7x-88 is 75x^2-12x+7
What is the first derivative of 25x^3-6x^2+7x-88 ?
The first derivative of 25x^3-6x^2+7x-88 is 75x^2-12x+7