Find dydx of the following y - 1 - 2x - 3x2 - n - 1xn - 2

The correct option is A 2+6x+(n 1)(n 2)x^n 3 y = 1 + 2x + 3x^2 + ( n 1)x^n 2 dydx = 2 + 6x + ( n 1)( n 2)x^n 3 ...

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Algebra of Derivatives

Find dydx o...

Question

Find $\frac{d y}{d x}$ of the following $y = 1 + 2 x + 3 x^{2} + (n - 1) x^{n - 2}$

x + 2 x^{2} + 6 x^{3} + (n - 1) (n - 2) x^{n - 3}

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2 + 6 x + (n - 1) x^{n - 2}

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2 + 6 x + (n - 1) (n - 2) x^{n - 3}

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Similar questions

\frac{d y}{d x}

y = 1 + 2 x + 3 x^{2} + (n - 1) x^{n - 2}

n + (n - 1) x + (n - 2) x^{2} + . . . . + 2 x^{n - 2} + x^{n - 1}

n

n + (n - 1) x + (n - 2) x^{2} + . . . + 2 x^{n - 2} + x^{n - 1}

x^{n}

{(2 x + 3)}^{n} - {(2 x + 3)}^{n - 1} (5 - 2 x) + {(2 x + 3)}^{n - 2} {(5 - 2 x)}^{2} + . . . + {(- 1)}^{n} {(5 - 2 x)}^{n}

(n + 1) 2^{n}

a^{n} + a^{n - 1} b + a^{n - 2} b^{2} + . . . + b^{n} = \frac{a^{n + 1} - b^{n + 1}}{a - b}

{lim}_{x \to 2} \frac{x^{n} - 2^{n}}{x - 2} = 80

n \in N

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