f x x 3 3x 2 6x 100 Free functions calculator explore function domain range intercepts extreme points and asymptotes step by step
Given f x x 3 3 x 2 6 x 100 f x 3 x 2 6 x 6 3 x 2 2 x 2 3 x 2 2 x 1 1 3 x 1 2 3 f x 0 for all real values of x Hence f x is increaseing Mathematics Monotonically Increasing Functions Question Show that the function f x x3 3x2 6x 100 is increasing on R Solution Verified by Toppr d dx f x 3x2 6x 6
f x x 3 3x 2 6x 100
f x x 3 3x 2 6x 100
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Online math solver with free step by step solutions to algebra calculus and other math problems Get help on the web or with our math app Mathematics Monotonically Increasing Functions Question Show that the function f x x3 3x2 6x 100 is increasing on R Solution Verified by Toppr d dx f x 3x2 6x 6
Explore math with our beautiful free online graphing calculator Graph functions plot points visualize algebraic equations add sliders animate graphs and more Solution A increasing f x x 3 3 x 2 3 x 100 x R f x 3 x 2 6 x 3 3 x 2 2 x 1 3 x 1 2 Since x 1 2 is always positive x 1 f x 0 for all x R x
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Solution Verified by Toppr Given function f x x3 3x2 3x 100 d dx f x d dx x3 3x2 3x 100 f s 3x2 6x 3 f x 3 x2 2x 1 f x 3 x 1 2 It is clear Step 1 Enter the expression you want to factor in the editor The Factoring Calculator transforms complex expressions into a product of simpler factors It can factor
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f x x 3 3x 2 6x 100 - Solution Verified by Toppr Given f x x3 3x2 3x 100 Now f x 3x2 6x 3 or f x 3 x2 2x 1 or f x 3 x 1 2 We have f x 0 x R This gives f x is increasing