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Popular >

derivative of 3t^7+4t^5-sqrt(t)

Solution

derivative of

3 t^{7} + 4 t^{5} - t

Solution

21 t^{6} + 20 t^{4} - \frac{1}{2 t}

Solution steps

\frac{d}{d t} (3 t^{7} + 4 t^{5} - t)

Apply the Sum/Difference Rule:

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

= \frac{d}{d t} (3 t^{7}) + \frac{d}{d t} (4 t^{5}) - \frac{d}{d t} (t)

\frac{d}{d t} (3 t^{7}) = 21 t^{6}

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

\frac{d}{d t} (t) = \frac{1}{2 t}

= 21 t^{6} + 20 t^{4} - \frac{1}{2 t}

Popular Examples

derivative of ln((4x^2-9/(2x-3)))

\frac{d}{d x} (ln (\frac{4 x ^{2} - 9}{2 x - 3}))

limit as x approaches 1+of sqrt(x^2-x)

x \to 1 + lim (x^{2} - x)

(\partial)/(\partial y)(x^3-3xy+y^3)

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

derivative of x^2sin^3(x)+xcos^{-3}(x)derivative of

x^{2} sin^{3} (x) + x cos^{- 3} (x)

limit as x approaches infinity of x^2+6

x \to \infty lim (x^{2} + 6)

Frequently Asked Questions (FAQ)

What is the derivative of 3t^7+4t^5-sqrt(t) ?
The derivative of 3t^7+4t^5-sqrt(t) is 21t^6+20t^4-1/(2sqrt(t))
What is the first derivative of 3t^7+4t^5-sqrt(t) ?
The first derivative of 3t^7+4t^5-sqrt(t) is 21t^6+20t^4-1/(2sqrt(t))