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The left hand derivative of f(x)=[x]sin...

The left hand derivative of `f(x)=[x]sin(pix)` at `x = k`, `k` is an integer, is

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RESONANCE DPP-JEE MAINS-All Questions
  1. A curve with equation of the form y=a x^4+b x^3+c x+d has zero gradie...

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  2. A tangent is drawn to the ellipse (x^2)/(27)+y^2=1 at (3sqrt(3)costhe...

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  3. The left hand derivative of f(x)=[x]sin(pix) at x = k, k is an intege...

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  4. The locus of the point of intersection of the tangents at the extre...

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

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  6. Prove that, the normal to y^(2) = 12x at (3,6) meets the parabola agai...

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  7. The two curves x=y^2a n dx y=a^3 cut orthogonally, then a^2 is equal...

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  8. Number of normals drawn from the point (-2,2) to the parabola y^2-2y-2...

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  9. The two parts of 100 for which the sum of double of first and square o...

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  10. area of the triangle formed by the tangents at the points (4, 6), (10,...

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  11. If f(x) = x^(a) log x and f(0) = 0 then the value of alpha for which ...

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  12. The value of (a+bomega+comega^2)/(b+comega+aomega^2)+(a+bomega+comega^...

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  13. The tangent to y=a x^2+b x+7/2 at (1,2) is parallel to the normal...

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  14. If z1,z2,z3,z4 are imaginary 5th roots of unity, then the value of su...

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  15. The domain of the derivative of the function f(x)={t a n^(-1)x ,if|x|l...

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  16. Find the coefficients of x^(50) in the expression (1+x)^(1000)+2x(1+x)...

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  17. Which of the following is true? pi/3>tan^(-1)pi/3 (b) pi/3<tan^(-1)pi...

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  18. The sum of first p-terms of a sequence is p(p+1)(p+2)dot The 10th ter...

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  19. Evaluate: int(-1)^4f(x)dx=4a n dint2^4(3-f(x))dx=7, then find the val...

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  20. If hat a , hat b ,a n d hat c are three unit vectors, such that h...

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