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f(x)=2x3 +5 on R .
Concept: undefined >> undefined
f (x) = \[-\] | x + 1 | + 3 on R .
Concept: undefined >> undefined
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f(x) = 16x2 \[-\] 16x + 28 on R ?
Concept: undefined >> undefined
f(x) = x3 \[-\] 1 on R .
Concept: undefined >> undefined
f(x) = (x \[-\] 5)4.
Concept: undefined >> undefined
f(x) = x3 \[-\] 3x.
Concept: undefined >> undefined
f(x) = x3 (x \[-\] 1)2 .
Concept: undefined >> undefined
f(x) = (x \[-\] 1) (x+2)2.
Concept: undefined >> undefined
f(x) = \[\frac{1}{x^2 + 2}\] .
Concept: undefined >> undefined
f(x) = x3 \[-\] 6x2 + 9x + 15 .
Concept: undefined >> undefined
f(x) = sin 2x, 0 < x < \[\pi\] .
Concept: undefined >> undefined
f(x) = sin x \[-\] cos x, 0 < x < 2\[\pi\] .
Concept: undefined >> undefined
f(x) = cos x, 0 < x < \[\pi\] .
Concept: undefined >> undefined
`f(x)=sin2x-x, -pi/2<=x<=pi/2`
Concept: undefined >> undefined
`f(x)=2sinx-x, -pi/2<=x<=pi/2`
Concept: undefined >> undefined
f(x) =\[x\sqrt{1 - x} , x > 0\].
Concept: undefined >> undefined
Find the point of local maximum or local minimum, if any, of the following function, using the first derivative test. Also, find the local maximum or local minimum value, as the case may be:
f(x) = x3(2x \[-\] 1)3.
Concept: undefined >> undefined
f(x) =\[\frac{x}{2} + \frac{2}{x} , x > 0\] .
Concept: undefined >> undefined
Find the projection of \[\vec{b} + \vec{c} \text { on }\vec{a}\] where \[\vec{a} = 2 \hat{i} - 2 \hat{j} + \hat{k} , \vec{b} = \hat{i} + 2 \hat{j} - 2 \hat{k} \text{ and } \vec{c} = 2 \hat{i} - \hat{j} + 4 \hat{k} .\]
Concept: undefined >> undefined
If \[\vec{a} = 5 \hat{i} - \hat{j} - 3 \hat{k} \text{ and } \vec{b} = \hat{i} + 3 \hat{j} - 5 \hat{k} ,\] then show that the vectors \[\vec{a} + \vec{b} \text{ and } \vec{a} - \vec{b} \] are orthogonal.
Concept: undefined >> undefined
