JEE MATHEMATICS MCQ: INCREASING & DECREASING

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Analyzing +4 | -1

How many real solutions does the equation

{x^7} + 14{x^5} + 16{x^3} + 30x - 560 = 0

have?

View answer and explanation

Correct option: C

Option C (1) is correct because the function's derivative is always positive, indicating it's strictly increasing and thus has only one real root.

More Questions from INCREASING & DECREASING

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f\left( x \right) = \frac{{K\sin x + 2\cos x}}{{\sin x + \cos x}}

x

f\left( x \right) = {x^2} + ax + 1

a

f(x)=

\sin x-\cos x-a x+b

f(x)=x e^{x(1-x)}, x \in R

f

g

fog

f\left( x \right) = {x^3} + b{x^2} + cx + d

0 < {b^2} < c

\left( { - \infty ,\;\infty } \right)