Home
Class 11
MATHS
The differentiation of cosx with respect...

The differentiation of `cosx` with respect to x is -sinx i.e. `d/(dx)(cosx)=-sinx`

Text Solution

AI Generated Solution

To differentiate \( \cos x \) with respect to \( x \), we will use the definition of the derivative. The derivative of a function \( f(x) \) at a point \( x \) is defined as: \[ f'(x) = \lim_{h \to 0} \frac{f(x + h) - f(x)}{h} \] In our case, the function \( f(x) = \cos x \). Therefore, we need to find: ...
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    RD SHARMA|Exercise Solved Examples And Exercises|267 Videos
  • ELLIPSE

    RD SHARMA|Exercise Solved Examples And Exercises|97 Videos

Similar Questions

Explore conceptually related problems

(vii) The differentiation of cosx with respect to x is -sin x

(vi) The differentiation of sinx with respect to x is cosx

The differentiation of e^(x) with respect to x is e^(x). i.e.(d)/(dx)(e^(x))=e^(x)

Differentiate (sinx)/(x) with respect to x.

Differentiate x^(sinx) with respect to 'x'.

Differentiate sinx^(2) with respect to x

Evaluate differentiation of y with respect to x : y=5x+cosx

differentiate with respect to x - y=sinx^tanx

Differentiate e^tanx cosx

Differentiate e^(sinx) wit respect to cos x.

RD SHARMA-DERIVATIVES-Solved Examples And Exercises
  1. Differentiate the following functions with respect to x : (e^x+sinx...

    Text Solution

    |

  2. Differentiate the following functions with respect to x : (e^x-tanx)...

    Text Solution

    |

  3. The differentiation of cosx with respect to x is -sinx i.e. d/(dx)(co...

    Text Solution

    |

  4. The differentiation of sinx with respect to x is cosxdot i.e. d/(dx...

    Text Solution

    |

  5. Differentiate logsinx from the first principles.

    Text Solution

    |

  6. Find the derivative of s in x3 from first principles.

    Text Solution

    |

  7. The differentiation of a^x(a >0,a!=1) with respect to x is a^x(log)e a...

    Text Solution

    |

  8. Differentiate e^(sqrt(tanx)) from the first principle.

    Text Solution

    |

  9. If f(x)=x^n where x in R , then differentiation of x^n with respect t...

    Text Solution

    |

  10. Find the derivatives of f(x)=tanxa tx=0

    Text Solution

    |

  11. If is a real valued function defined by f(x)=x^2+4x+3, then find f^(pr...

    Text Solution

    |

  12. If f(x)a n dg(x) are differentiate functions, then show that f(x)+-g(x...

    Text Solution

    |

  13. If f(x)a n dg(f) are two differentiable functions and g(x)!=0 , then s...

    Text Solution

    |

  14. If u, v and w are functions of x, then show that d/(dx)(udotvdotw)=(d ...

    Text Solution

    |

  15. Differentiation of a constant function is zero i.e., d/(dx)(c)=0.

    Text Solution

    |

  16. If f(x)=m x+c and f(0)=f^(prime)(0)=1. What is f(2)?

    Text Solution

    |

  17. Find (dy)/(dx),w h e ny=3tanx+5(log)a x+sqrt(x)-3e^x+1/xdot

    Text Solution

    |

  18. Differentiate the following functions with respect to x from first...

    Text Solution

    |

  19. Differentiate the following functions with respect to x from first...

    Text Solution

    |

  20. Differentiate the following functions with respect to x from first...

    Text Solution

    |