Home
Class 11
MATHS
Find the derivative of the function f(x...

Find the derivative of the function `f(x)=2x^2+3x-5`at `x = 1`. Also prove that `f^(prime)(0)+3f^(prime)(-1)=0`.

Text Solution

AI Generated Solution

To find the derivative of the function \( f(x) = 2x^2 + 3x - 5 \) at \( x = 1 \) and prove that \( f'(0) + 3f'(-1) = 0 \), we will follow these steps: ### Step 1: Find the derivative \( f'(x) \) The function is given as: \[ f(x) = 2x^2 + 3x - 5 \] ...
Promotional Banner

Topper's Solved these Questions

  • LIMITS AND DERIVATIVES

    NCERT ENGLISH|Exercise MISCELLANEOUS EXERCISE|30 Videos

  • LIMITS AND DERIVATIVES

    NCERT ENGLISH|Exercise EXERCISE 13.2|11 Videos

  • LIMITS AND DERIVATIVES

    NCERT ENGLISH|Exercise EXERCISE 13.3|8 Videos

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    NCERT ENGLISH|Exercise EXERCISE 12.1|4 Videos

  • LINEAR INEQUALITIES

    NCERT ENGLISH|Exercise EXERCISE 6.2|10 Videos

Similar Questions

Explore conceptually related problems

Find the derivative of f(x)=2x^2+3x-5 at x=-1 . Also, prove that f'(0)+3f'(-1)=0.

Find the derivative of the function f(x) given by f(x)=(1+x)(1+x^2)(1+x^4)(1+x^8) and hence find f^(prime)(1)

Find the derivative of the function given by f(x)=(1+x)(1+x^2)(1+x^4)(1+x^8) and, hence, find f^(prime)(1)dot

Find the derivative of the function given by f(x)=(1+x)(1+x^2)(1+x^4)(1+x^8) and hence find f^(prime)(1) .

If f(x)=x|x|, then prove that f^(prime)(x)=2|x|

If f(x)=x|x|, then prove that f^(prime)(x)=2|x|

If f(x)=x|x|, then prove that f^(prime)(x)=2|x|

For the function f(x)=(x^(100))/(100)+(x^(99))/(99)+...+(x^2)/2+x+1 . Prove that f^(prime)(1)=100f^(prime)(0) .

For the function f(x)=(x^(100))/(100)+(x^(99))/(99)+...+(x^2)/2+x+1 . Prove that f^(prime)(1)=100f^(prime)(0) .

A function f: R->R satisfies that equation f(x+y)=f(x)f(y) for all x ,\ y in R , f(x)!=0 . Suppose that the function f(x) is differentiable at x=0 and f^(prime)(0)=2 . Prove that f^(prime)(x)=2\ f(x) .