What is the derivative of 2x^6(1+x)^5 ?

The derivative of 2x^6(1+x)^5 is 2(6x^5(1+x)^5+5(1+x)^4x^6)

What is the first derivative of 2x^6(1+x)^5 ?

The first derivative of 2x^6(1+x)^5 is 2(6x^5(1+x)^5+5(1+x)^4x^6)

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derivative of

2 x^{6} (1 + x)^{5}

2 (6 x^{5} (1 + x)^{5} + 5 (1 + x)^{4} x^{6})

Solution steps

\frac{d}{d x} (2 x^{6} (1 + x)^{5})

Take the constant out:

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

= 2 \frac{d}{d x} (x^{6} (1 + x)^{5})

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x^{6}, g = (1 + x)^{5}

= 2 (\frac{d}{d x} (x^{6}) (1 + x)^{5} + \frac{d}{d x} ((1 + x)^{5}) x^{6})

\frac{d}{d x} (x^{6}) = 6 x^{5}

\frac{d}{d x} ((1 + x)^{5}) = 5 (1 + x)^{4}

= 2 (6 x^{5} (1 + x)^{5} + 5 (1 + x)^{4} x^{6})

t^{- 1}

\frac{x ^{3} + x - 1}{2}

e^{x} + 2

ln (x^{- 1})

(x^{2} + 3 x)^{4}

What is the derivative of 2x^6(1+x)^5 ?
The derivative of 2x^6(1+x)^5 is 2(6x^5(1+x)^5+5(1+x)^4x^6)
What is the first derivative of 2x^6(1+x)^5 ?
The first derivative of 2x^6(1+x)^5 is 2(6x^5(1+x)^5+5(1+x)^4x^6)