Related InterviewSolutions

• What is the mathematical expression for monotonically non-increasing function?(a) x1 < x2 ⇒ f(x1) ≤ f(x2) ∀ x1, x2 ∈ (a,b)(b) x1 < x2 ⇒ f(x1) ≥ f(x2) ∀ x1, x2 ∈ (a,b)(c) x1 = x2 ⇒ f(x1) ≤ f(x2) ∀ x1, x2 ∈ (a,b)(d) x1 < x2 ⇒ f(x1) = f(x2) ∀ x1, x2 ∈ (a,b)I got this question in examination.This intriguing question comes from Derivatives Application topic in division Application of Derivatives of Mathematics – Class 12
• What is the relation between f(x) and &ell; when the minimum value or least value function f is defined on a set A and &ell; ∈ f(A)?(a) f(x) < &ell; ∀ x ∈ A(b) f(x) ≤ &ell; ∀ x ∈ A(c) f(x) ≥ &ell; ∀ x ∈ A(d) f(x) > &ell; ∀ x ∈ AThis question was addressed to me in an interview.This intriguing question originated from Derivatives Application topic in division Application of Derivatives of Mathematics – Class 12
• What is the relation between f(x) and &ell; when the maximum value or greatest value function f is defined on a set A and &ell; ∈ f(A)?(a) f(x) < &ell; ∀ x∈ A(b) f(x) ≤ &ell; ∀ x∈ A(c) f(x) = &ell; ∀ x∈ A(d) f(x) > &ell; ∀ x∈ AThis question was posed to me in an online interview.I'm obligated to ask this question of Derivatives Application topic in chapter Application of Derivatives of Mathematics – Class 12
• Nature of the function f(x) = e^2x is _______(a) increasing(b) decreasing(c) constant(d) increasing and decreasingThis question was addressed to me during an interview.This interesting question is from Derivatives Application topic in section Application of Derivatives of Mathematics – Class 12
• Find the approximate value of \(\sqrt{49.1}\).(a) 7.0142(b) 7.087942(c) 7.022(d) 7.00714I had been asked this question during an interview.My question is based upon Derivatives Application topic in division Application of Derivatives of Mathematics – Class 12
• Find the tangent to the curve y=3x^2+x+4 at x=3.(a) 19(b) 1.9(c) 18(d) 16The question was posed to me by my college director while I was bunking the class.I want to ask this question from Derivatives Application in chapter Application of Derivatives of Mathematics – Class 12
• If the rate of change of radius of a circle is 6 cm/s then find the rate of change of area of the circle when r=2 cm.(a) 74.36 cm^2/s(b) 75.36 cm^2/s(c) 15.36 cm^2/s(d) 65.36 cm^2/sI have been asked this question in quiz.My doubt stems from Derivatives Application topic in chapter Application of Derivatives of Mathematics – Class 12
• What will be the increment of the differentiable function f(x) = 2x^2 – 3x + 2 when x changes from 3.02 to 3?(a) 0.18(b) 0.018(c) 0.16(d) 0.016This question was addressed to me in an interview for internship.Question is taken from Application of Derivative for Error Determination in portion Application of Derivatives of Mathematics – Class 12
• What is the condition for a function f to be strictly increasing if f be continuous and differentiable on (a,b)?(a) f’(x) > 0 ∀ x1, x2 ∈ (a,b)(b) f’(x) < 0 ∀ x1, x2 ∈ (a,b)(c) f’(x) ≤ 0 ∀ x1, x2 ∈ (a,b)(d) f’(x) = 0 ∀ x1, x2 ∈ (a,b)The question was asked during an interview for a job.The origin of the question is Derivatives Application in portion Application of Derivatives of Mathematics – Class 12
• What is the condition for a function f to be increasing if f be continuous and differentiable on (a,b)?(a) f’(x) < 0 ∀ x1, x2 ∈ (a,b)(b) f’(x) > 0 ∀ x1, x2 ∈ (a,b)(c) f’(x) = 0 ∀ x1, x2 ∈ (a,b)(d) f’(x) ≥ 0 ∀ x1, x2 ∈ (a,b)The question was posed to me during an online exam.The query is from Derivatives Application in chapter Application of Derivatives of Mathematics – Class 12