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Fill in the blanks: The slope of the t...

Fill in the blanks:
The slope of the tangent to the curve `y^2 = x^3` at the origin is __________.

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PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE
  1. Fill in the blanks: Derivative of sin x w.r.t cos x is …………… .

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  2. Fill in the blanks: The side (Variable) of a square is x, then the r...

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  3. Fill in the blanks: The slope of the tangent to the curve y^2 = x^3 ...

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  4. Fill in the blanks: The function f(x) = x^3 is a strict function.

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  5. Fill in the blanks: The tangent to the curve y = x^3 at the point (4...

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  6. Fill in the blanks: When 0 l a<1,x>0, the function y = loga x is a ...

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  7. At x = 0, the function f(x) = |x| is

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  8. The values of a for which y=x^(2)+ax+25 touches the axis of x are .......

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  9. Fill in the blanks: The function f(x) = x + (9)/(x) has a local val...

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  10. Fill in the blanks: An approximate value of sqrt(66) is .

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  11. Fill in the blanks: An approximate value of root3(28) is.

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  12. Fill in the blanks: The function f(x) = 4x - 3 is strict function f...

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  13. If x<0, what is the maximum value of x + 1/x

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  14. Fill in the blanks: At x = e, the function f(X) = (logx)/(x) has the...

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  15. Fill in the blanks: Maximum value of the function f(X) = (1)/(4x^2 +...

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  16. Fill in the blanks: If a function f is the differentiable at c such ...

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  17. Fill in the blanks: If a function f has a local maximum at x = c and...

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  18. Fill in the blanks: For x> 0, the function f(x) = log(1//3) x is a s...

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  19. Minimum value of f if f(x)=sinx in [-pi/2, pi/2] is ................. ...

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  20. Fill in the blanks: The maximum value of sin x + cos x, x in R, is .

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