The maximum value of $4{\sin }^{2}x-12\sin x+7$ is

Important Questions on Application of Derivatives - I

MEDIUM

TS EAMCET

IMPORTANT

Comprehensive Guide to TS EAMCET Mathematics. Other applicable Exams - JEE Main, VITEEE, SRM JEE, MHT-CET, K-CET, BITSAT, AMU & Other State Engg. Entrance Exams>Chapter 10 - Application of Derivatives - I>Exercise 1>Q 14

Let $f\left(x\right)={\cot }^{-1}\left[g\left(x\right)\right]$, where $g\left(x\right)$ is an increasing function for $0<x<\mathrm{\pi }$. Then $f\left(x\right)$ is

MEDIUM

TS EAMCET

IMPORTANT

Comprehensive Guide to TS EAMCET Mathematics. Other applicable Exams - JEE Main, VITEEE, SRM JEE, MHT-CET, K-CET, BITSAT, AMU & Other State Engg. Entrance Exams>Chapter 10 - Application of Derivatives - I>Exercise 1>Q 15

Divide $64$  into two parts such that the sum of the cubes of two parts is minimum. The two parts are

MEDIUM

TS EAMCET

IMPORTANT

Comprehensive Guide to TS EAMCET Mathematics. Other applicable Exams - JEE Main, VITEEE, SRM JEE, MHT-CET, K-CET, BITSAT, AMU & Other State Engg. Entrance Exams>Chapter 10 - Application of Derivatives - I>Exercise 1>Q 16

The values of $a$ if the curve $y^2=x^2+ax+25$ touches $x$-axis

MEDIUM

TS EAMCET

IMPORTANT

Comprehensive Guide to TS EAMCET Mathematics. Other applicable Exams - JEE Main, VITEEE, SRM JEE, MHT-CET, K-CET, BITSAT, AMU & Other State Engg. Entrance Exams>Chapter 10 - Application of Derivatives - I>Exercise 1>Q 17

The equation of the normal to the curve $y(x-2)(x-3)-x+7=0$ at the point where it cuts the $x$-axis is

EASY

TS EAMCET

IMPORTANT

Comprehensive Guide to TS EAMCET Mathematics. Other applicable Exams - JEE Main, VITEEE, SRM JEE, MHT-CET, K-CET, BITSAT, AMU & Other State Engg. Entrance Exams>Chapter 10 - Application of Derivatives - I>Exercise 1>Q 18

The line $2x+\sqrt{6}y=2$ is a tangent to the curve $x^2-2y^2=4$. The point of contact is

MEDIUM

TS EAMCET

IMPORTANT

Comprehensive Guide to TS EAMCET Mathematics. Other applicable Exams - JEE Main, VITEEE, SRM JEE, MHT-CET, K-CET, BITSAT, AMU & Other State Engg. Entrance Exams>Chapter 10 - Application of Derivatives - I>Exercise 1>Q 19

The function $f\left(x\right)=x^{\frac{1}{x}}$ is increasing in the interval

MEDIUM

TS EAMCET

IMPORTANT

Comprehensive Guide to TS EAMCET Mathematics. Other applicable Exams - JEE Main, VITEEE, SRM JEE, MHT-CET, K-CET, BITSAT, AMU & Other State Engg. Entrance Exams>Chapter 10 - Application of Derivatives - I>Exercise 1>Q 20

The points on the curve $y=x^3+5$ at which the tangents are perpendicular to the line $x+3 y=2$ are

EASY

TS EAMCET

IMPORTANT

Comprehensive Guide to TS EAMCET Mathematics. Other applicable Exams - JEE Main, VITEEE, SRM JEE, MHT-CET, K-CET, BITSAT, AMU & Other State Engg. Entrance Exams>Chapter 10 - Application of Derivatives - I>Exercise 1>Q 21

The tangent to a given curve is perpendicular to $x$-axis if