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Popular >

derivative of y=43x^2+(x^2)^{43}

Solution

derivative of

y = 43 x^{2} + (x^{2})^{43}

Solution

86 x + 86 x^{85}

Solution steps

\frac{d}{d x} (43 x^{2} + (x^{2})^{43})

Simplify

43 x^{2} + (x^{2})^{43} : 43 x^{2} + x^{86}

= \frac{d}{d x} (43 x^{2} + x^{86})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (43 x^{2}) + \frac{d}{d x} (x^{86})

\frac{d}{d x} (43 x^{2}) = 86 x

\frac{d}{d x} (x^{86}) = 86 x^{85}

= 86 x + 86 x^{85}

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Frequently Asked Questions (FAQ)

What is the derivative of y=43x^2+(x^2)^{43} ?
The derivative of y=43x^2+(x^2)^{43} is 86x+86x^{85}
What is the first derivative of y=43x^2+(x^2)^{43} ?
The first derivative of y=43x^2+(x^2)^{43} is 86x+86x^{85}