Mathematics Crash Course MHT-CET>Chapter 17 - Application of Derivatives>Exercise 1>Q 171

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Co-ordinates of a point on the curve $y = x \log x$ at which the normal is parallel to the line $2 x - 2 y = 3$ are

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Important Questions on Application of Derivatives

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Mathematics Crash Course MHT-CET>Chapter 17 - Application of Derivatives>Exercise 1>Q 172

The function

f (x) = 2 x^{3} - 3 x^{2} - 12 x + 5

has a minimum at

x =

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Mathematics Crash Course MHT-CET>Chapter 17 - Application of Derivatives>Exercise 1>Q 173

The point on the curve

y = x^{2} - 4 x + 5

at which the tangent is perpendicular to the line

x + 2 y = 7

is

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Mathematics Crash Course MHT-CET>Chapter 17 - Application of Derivatives>Exercise 1>Q 174

If the curve

y = a x^{2} - 6 x + b

passes through

(0, 2)

and has its tangent parallel to

X -

axis at

x = \frac{3}{2}

, then the values of

a

and

b

are respectively

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Mathematics Crash Course MHT-CET>Chapter 17 - Application of Derivatives>Exercise 1>Q 175

The interval for which the given function

f (x) = 2 x^{3} - 3 x^{2} - 36 x + 7

is decreasing, is