The correct option is C d/dx{(x+1)^5 1} We know, {d/dxx^n=nx^n 1} =5(x+1)^4×d/dx(x+1) 0 =5(x+1)^4× 1 =5(x+1)^4 ...

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Subtraction of Rational Expressions

Evaluate d/d ...

Question

Evaluate $\frac{d}{d x} {(x + 1)^{5} - 1}$

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Solution

The correct option is C

$\frac{d}{d x} {(x + 1)^{5} - 1}$

We know, ${\frac{d}{d x} x^{n} = n x^{n - 1}}$

= $5 (x + 1)^{4} \times \frac{d}{d x} (x + 1) - 0$

= $5 (x + 1)^{4} \times 1$

= $5 (x + 1)^{4}$

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