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Find the points at which the function f ...

Find the points at which the function `f` given by `f(x)=(x-5)^4` has local minima and find the local minimum value.

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CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. Statement 1: If f(0)=0,f^(prime)(x)=ln(x+sqrt(1+x^2)), then f(x) is po...

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  2. Match the items of column I with column II and select the correct opti...

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  3. Find the points at which the function f given by f(x)=(x-5)^4 has loca...

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  4. Find the greatest value of f(x)=1/(2a x-x^2-5a^2)in[-3,5] depending up...

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  5. The set of all values of a for which the function f(x)=(sqrt(a+4)/(1...

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  6. Let f(x)=(x^3-6x^2+12 x-8)e^xdot Statement 1: f(x) is neither maximum...

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  7. Statement 1: The function f(x)=x^4-8x^3+22 x^2-24 x+21 is decreasing f...

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  8. If f is a real function such that f(x) > 0,f^(prime)(x) is continuous ...

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  9. Let f(x)=x^3-3x^2+6AAx in \mathbb{R} and g(x)={m a x :f(t ; x+1lt=tlt=...

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  10. From a fixed point A on the circumference of a circle of radius r , th...

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  11. The lower corner of a leaf in a book is folded over so as to reach the...

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  12. h(x)=3f((x^2)/3)+f(3-x^2)AAx in (-3, 4) where f''(x)> 0 AA x in (-3,4)...

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  13. If 0<x1<x2<x3<pi, then prove that sin((x1+x2+x3)/3)>(sinx1+sinx2+sinx3...

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  14. Prove: sin^2θ+cos^2θ=1

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  15. Prove that (tan^(-1) 1/e)^2+(2e)/ sqrt(e^2+1)<(tan^(-1)e)^2+2/(sqrt(e^...

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  16. If f(x)=x^3+bx^2+cx+d and 0ltb^2ltc then in (-oo,oo)

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  17. The function defined by f(x)=(x+2)e^(-x) is (a)decreasing for all x ...

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  18. Find the values of x where f(x)=sin(lnx)-cos(lnx) in strictly increasi...

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  19. Let f(x)=x^3+a x^2+b x+5sin^2x be an increasing function on the set Rd...

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  20. Find the possible values of a such that f(x)=e^(2x)-(a+1)e^x+2x is mon...

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