Home
Class 12
MATHS
Differentiate (x^2-5x+8)(x^3+7x+9) in t...

Differentiate `(x^2-5x+8)(x^3+7x+9)` in three ways mentioned below:(i) by using product rule(ii) by expanding the product to obtain a single polynomial.(iii) by logarithmic differentiation.Do they all give the same answer?

Text Solution

Verified by Experts

The correct Answer is:
`4x^(3)+6x^(2)-36x+11`
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    OSWAAL PUBLICATION|Exercise DIFFERENTIABILITY ( SHORT ANSWER TYPE QUESTIONS-II)|12 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    OSWAAL PUBLICATION|Exercise DIFFERENTIABILITY ( LONG ANSWER TYPE QUESTIONS-I)|67 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    OSWAAL PUBLICATION|Exercise DIFFERENTIABILITY ( VERY SHORT ANSWER TYPE QUESTIONS )|15 Videos
  • APPLICATIONS OF DERIVATIVES

    OSWAAL PUBLICATION|Exercise TOPIC - 5 MAXIMA AND MINIMA (LONG ANSWER TYPE QUESTIONS - II)|29 Videos
  • DETERMINANTS

    OSWAAL PUBLICATION|Exercise TOPIC-2 SOLUTIONS OF SYSTEM OF LINEAR EQUATIONS (LONG ANSWER TYPE QUESTIONS -II )|24 Videos

Similar Questions

Explore conceptually related problems

Find the derivative of (4x+5 sin x)/(3x+7cos x) using rule of differentiation.

Draw the graph of (i) y=2x+5 , (ii) y=2x-5 , (iii) y=2x and find the point of intersection on X - axis Is the x-coordinate of these points also the zeroes of the polynomial ?

Use the identity (x+a)(x+b) = x^2+(a+b)x +ab to find the following products (x+3)(x+7)

The sum and product of the zeroes an a quadratic polynomial P (x) = ax^(2) + bx +c are -3 and 2 respectively, Show that b+c = 5a.

If u, v and w are functions of x, then show that (d)/(dx)(u.v.w) = (du)/(dx) v.w+u. (dv)/(dx).w+u.v(du)/(dx) in two ways-first by repeated application of product rule, second by logarithmic differentiation.

Find the zeroes of cubic polynomials (i) -x^(3) (ii) x^(2)-x^(3) (iii) x^(3)-5x^(2)+6x without drawing the graph of the polynomial.

Use the identity (x+a)(x+b) = x^2+(a+b)x +ab to find the following products (2a^2+9)(2a^2+5)