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Popular >

derivative of-1/2+7/5 x^3

Solution

\frac{d}{d x} (- \frac{1}{2} + \frac{7}{5} x^{3})

Solution

\frac{21 x ^{2}}{5}

Solution steps

\frac{d}{d x} (- \frac{1}{2} + \frac{7}{5} x^{3})

Simplify

- \frac{1}{2} + \frac{7}{5} x^{3} : - \frac{1}{2} + \frac{7 x ^{3}}{5}

= \frac{d}{d x} (- \frac{1}{2} + \frac{7 x ^{3}}{5})

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (\frac{1}{2}) + \frac{d}{d x} (\frac{7 x ^{3}}{5})

\frac{d}{d x} (\frac{1}{2}) = 0

\frac{d}{d x} (\frac{7 x ^{3}}{5}) = \frac{21 x ^{2}}{5}

= - 0 + \frac{21 x ^{2}}{5}

Simplify

= \frac{21 x ^{2}}{5}

Popular Examples

derivative of (x^3-2x^2+3(7x^2-4x))

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

d/(dy)(ky(1-y/N)(y/M-1))

\frac{d}{d y} (k y (1 - \frac{y}{N}) (\frac{y}{M} - 1))

(dP)/(dt)+P=10,P(0)=4

\frac{d P}{d t} + P = 10, P (0) = 4

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

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

derivative of 1/(x^{1/2)}derivative of

\frac{1}{x ^{\frac{1}{2}}}

Frequently Asked Questions (FAQ)

What is the derivative of-1/2+7/5 x^3 ?
The derivative of-1/2+7/5 x^3 is (21x^2)/5
What is the first derivative of-1/2+7/5 x^3 ?
The first derivative of-1/2+7/5 x^3 is (21x^2)/5