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Any tangent to the curve y=2x^7+3x+5 ...

Any tangent to the curve `y=2x^7+3x+5` (a) is parallel to x-axis (b) is parallel to y-axis (c) makes an acute angle with x-axis (d) makes an obtuse angle with x-axis.

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We have, `y=2x^7+3x+5`
`dy/dx​=14x^6+3`
⇒`dy/dx​>3 `
(∵`x^6` is always positive for any real value) ⇒`dy/dx​>0` so, tanθ>0
...
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