Home
Class 12
MATHS
Find (dy)/(dx) , when y=2^(x)x^(5)...

Find `(dy)/(dx)` , when
`y=2^(x)x^(5)`

Text Solution

Verified by Experts

The correct Answer is:
`2^(x)*5x^(4)+x^(5)*2^(x) log_(e)2=2^(x)*x^(4)(5+x log_(e)2)` .
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    CHHAYA PUBLICATION|Exercise Multiple Choice Type Questions|14 Videos

  • DIFFERENTIATION

    CHHAYA PUBLICATION|Exercise Very short Answer Type Questions|38 Videos

  • DIFFERENTIATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion-Reason Type)|2 Videos

  • DIFFERENTIAL EQUATIONS OF THE FIRST ORDER AND FIRST DEGREE

    CHHAYA PUBLICATION|Exercise E ASSERTION-REASON TYPE|2 Videos

  • DIRECTION COSINES AND DIRECTION RATIOS

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

Similar Questions

Explore conceptually related problems

Find (dy)/(dx) , when y=5^(x) *x^(5)

Find (dy)/(dx) , when y=x^(x)+x^(2)

Find (dy)/(dx) , when y=x^(x^(x^(x)))

Find (dy)/(dx) , when y=(logx)^(x)+x^(logx)

Find (dy)/(dx) , when y=e^(sin phi(x))

Find (dy)/(dx) , when y=log|x|

Find (dy)/(dx) , when y= log f(x)

Find (dy)/(dx) , when y^(2)=(sinx)^(-x)

Find (dy)/(dx) , when y= (sin x)^(log x)

Find (dy)/(dx) when : y=(x+2)/((x-1)(x+5))

CHHAYA PUBLICATION-DIFFERENTIATION-Example
  1. Differentiate the following functions with respect to x : 3secx-4co...

    Text Solution

    |

  2. Differentiate the following functions with respect to x : sin2(x)/...

    Text Solution

    |

  3. Find (dy)/(dx) , when y=2^(x)x^(5)

    Text Solution

    |

  4. Find (dy)/(dx) , when y = sqrt(x) log x* 10^(x)

    Text Solution

    |

  5. Find (dy)/(dx) y= sqrt(x) sec x tan x

    Text Solution

    |

  6. If f(x+y) = f(x) * f(y) for all real x and y and f(5)=2,f'(0) = 3 ,...

    Text Solution

    |

  7. If f (a) = 2 , f'(a) = 1, g (a) = -1 and g'(a) = 2 , show tha...

    Text Solution

    |

  8. Find the derivatives of the following functions w.r.t. x : y = (si...

    Text Solution

    |

  9. Find the derivatives of the following functions w.r.t.x : y=(x^...

    Text Solution

    |

  10. Find the derivatives of the following functions w.r.t.x : (cot x + ...

    Text Solution

    |

  11. Find the derivatives of the following functions w.r.t.x : (x sin ...

    Text Solution

    |

  12. If h(x) = [ f (x) ] ^(2) + [ g (x) ] ^(2) and (x) = g (x), f''(x)...

    Text Solution

    |

  13. If y = 2 x^(3)- 15 x^(2) + 36 x + 8 , slove the equation (dy)/(dx)=...

    Text Solution

    |

  14. If y = sqrt(3x)-sqrt(3/(x))+(x + 6) /(6 - x ) find the value of ((d...

    Text Solution

    |

  15. If y = (x - 2 )/ (x + 2) , show that 2x * (dy)/(dx) = 1 - y^(2) .

    Text Solution

    |

  16. If f(x) = (6-4x)/(1+2x+2x^(2)) find f'(x) . Also find the value of...

    Text Solution

    |

  17. If y = x + (x^(3))/(3)+(x^(5))/(5)+* * * show that (dy)/(dx) = (1...

    Text Solution

    |

  18. Find the value of a, If f(x) = a |sin x | + 2x is differentiable ...

    Text Solution

    |

  19. Find the value of (d)/(dx)[(cos (x - alpha))/(sin x )] .

    Text Solution

    |

  20. If y = 1 + x + (x^(2))/(2!)+(x^(3))/(3!)+(x^(4))/(4!)+* * * +(x^(n))...

    Text Solution

    |