Team Gmath Question:- The present age of a father is three years more than three times the age of his son. Three years hence, the father,s age will be 10 years more than twice the age of the son. Determine their present ages. [CBSE 2020] Answer:- Let ‘x’ (in years) be the … Read more
Find the nth differential coefficient of x^3 cos x . This solution employs Leibnitz’s theorem, addressing the application and simplification of the nth derivative. For x^3 cos x , higher-order derivatives of x^3 beyond the fourth will become zero, simplifying the calculations. The detailed solution explores the use of trigonometric identities and combinations to derive … Read more
Learn how to Find the value of nth derivative of y=cos x cos 2x cos 3x using partial fractions and differentiation techniques. Follow our detailed step-by-step solution to master this calculus problem Q 10:- Find the value of nth derivative of . Solution:- Let ⇒ ⇒ ⇒ ⇒ ⇒ ⇒ Differentiate with respect to x ⇒ … Read more
Learn how to find nth derivative of the funcrtion e^x sin^2 x using partial fractions and differentiation techniques. Follow our detailed step-by-step solution to master this calculus problem Q 9:- Find nth derivative of the funcrtion . Solution:- Let ⇒ ⇒ Differentiate with respect to x ⇒ ⇒ . . . (i) Let then Thus, … Read more
Learn how to Find nth derivative of lox x^2using partial fractions and differentiation techniques. Follow our detailed step-by-step solution to master this calculus problem Q 8:- Find nth derivative of Solution:- Let ⇒ Differentiate with respect to x ⇒ Again differentiate with respect to x Again differentiate with respect to x ⇒ Now differentiate for … Read more
Learn how to Find nth derivative of the function 1+x/1-x using partial fractions and differentiation techniques. Follow our detailed step-by-step solution to master this calculus problem Q 7:- Find nth derivative of the function . Solution:- Let Differentiate with repect to x ⇒ ⇒ ⇒ ⇒ Again differentiate with respect to x ⇒ Now differentiate for … Read more
Learn how to Find nth derivative of e^x.x using partial fractions and differentiation techniques. Follow our detailed step-by-step solution to master this calculus problem Q 6:- Find nth derivative of . Solution:- Let Differentiate with respect to x ⇒ ⇒ again differentiate with respect to x ⇒ ⇒ Now differentiate this equation with respect to x … Read more
Learn how to Find nth derivative of tan inverse (x/a) using partial fractions and differentiation techniques. Follow our detailed step-by-step solution to master this calculus problem Q 5:- Find nth derivative of . Solution:- Let Differentiate with respect to x ⇒ ⇒ ⇒ ⇒ ⇒ Using partial fraction . . . (i) ⇒ ⇒ a = … Read more
Learn how to find If y = sin³ x find nth term of y. using partial fractions and differentiation techniques. Follow our detailed step-by-step Q 4:- If y = sin³ x find nth term of y. Solution:- Let We know that ⇒ ⇒ Since, Differentiate with respect to x ⇒ Again differentiate with respect to x … Read more
Learn how to find The nth derivative of tan inverse (1+x)/(1-x) using partial fractions and differentiation techniques. Follow our detailed step-by-step solution to master this calculus problem Q 3:- Find the nth derivative of Solution:- Let Let ⇒ ⇒ ⇒ ⇒ Now, differentiate with respect to x ⇒ ⇒ ⇒ Using partial fraction . . . … Read more