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Popular >

derivative of y=[x^2+(1-3x)5]3

Solution

derivative of

y = [x^{2} + (1 - 3 x) 5] 3

Solution

3 (2 x - 15)

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} ((1 - 3 x) \cdot 5) = - 15

= 3 (2 x - 15)

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Frequently Asked Questions (FAQ)

What is the derivative of y=[x^2+(1-3x)5]3 ?
The derivative of y=[x^2+(1-3x)5]3 is 3(2x-15)
What is the first derivative of y=[x^2+(1-3x)5]3 ?
The first derivative of y=[x^2+(1-3x)5]3 is 3(2x-15)