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Popular >

derivative of g(t)=t^2-7/(t^3)

Solution

derivative of

g (t) = t^{2} - \frac{7}{t ^{3}}

Solution

2 t + \frac{21}{t ^{4}}

Solution steps

\frac{d}{d t} (t^{2} - \frac{7}{t ^{3}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d t} (t^{2}) - \frac{d}{d t} (\frac{7}{t ^{3}})

\frac{d}{d t} (t^{2}) = 2 t

\frac{d}{d t} (\frac{7}{t ^{3}}) = - \frac{21}{t ^{4}}

= 2 t - (- \frac{21}{t ^{4}})

Simplify

= 2 t + \frac{21}{t ^{4}}

Popular Examples

limit as x approaches 0 of ((343+x)^{1/3}-7)/x

x \to 0 lim (\frac{( 343 + x ) ^{\frac{1}{3}} - 7}{x})

(\partial)/(\partial x)(-2x^2)

\frac{\partial}{\partial x} (- 2 x^{2})

laplacetransform 1+sin(pi*t)laplace transform

1 + sin (π \cdot t)

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\frac{d}{d x} (62 x)

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Frequently Asked Questions (FAQ)

What is the derivative of g(t)=t^2-7/(t^3) ?
The derivative of g(t)=t^2-7/(t^3) is 2t+(21)/(t^4)
What is the first derivative of g(t)=t^2-7/(t^3) ?
The first derivative of g(t)=t^2-7/(t^3) is 2t+(21)/(t^4)