What is the derivative of sqrt(-5t+3)+t^7 ?

The derivative of sqrt(-5t+3)+t^7 is -5/(2sqrt(-5t+3))+7t^6

What is the first derivative of sqrt(-5t+3)+t^7 ?

The first derivative of sqrt(-5t+3)+t^7 is -5/(2sqrt(-5t+3))+7t^6

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derivative of

- 5 t + 3 + t^{7}

- \frac{5}{2 - 5 t + 3} + 7 t^{6}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d t} (- 5 t + 3) = - \frac{5}{2 - 5 t + 3}

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

= - \frac{5}{2 - 5 t + 3} + 7 t^{6}

\int_{- 2}^{2} t^{3} (3 + t^{4})^{3} d t

h \to + 0 lim (\frac{h}{sin ( 3 h )})

\int (0.3 y^{4} - 8 y^{- 3} + 2) d y

x \to - 1 + lim (x)

\frac{d}{d x} (\frac{( 1 + x ^{2} + x ^{4} )}{1 + x + x ^{2}})

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