Methods of Differentiations questions
285 published questions with worked solutions.
- If y= ^2 ( x^2-x+1 x^2+x+1 ), then what is dy dx at x=0 equal to?
- What is the derivative of ^2x with respect to ^2x?
- What is the derivative of cosec (x^ )?
- If f(x)=| |x|| where 0<x<1, then what is f'(0.5) equal to?
- If f'(x)= ( x) and y=f ( 2x-3 x ), then what is dy dx equal to?
- Let f(x)= vmatrix 3x^2& x&- x 6&-1&0 &q^2&q^3 vmatrix where q is any constant, then what is d^2 dx^2 (f(x)) at x=0 equal to?
- Consider the following statements : I. d dx |x|=- 1 x if x<0 II. d dx |x|= 1 x if x>0 Which of the statements given above is/are...
- What is the derivative of ( x)+ ( x) with respect to x at x=e?
- If x=e^t t and y=e^t t, then what is dx dy at t=0 equal to?
- If y=(1+x)(1+x^2)(1+x^4)(1+x^8)(1+x^ 16 ) then what is dy dx at x=0 equal to?
- If y= x 4x 8x, then what is 1 y dy dx at x= 4 equal to?
- Let f(x) be a polynomial function such that f f(x)=x^4. What is f'(1) equal to?
- For the curve C : (x^ 2 + y^ 2 - 3) + (x^ 2 - y^ 2 - 1)^ 5 = 0, the value of 3y' - y^ 3 y″, at the point ( , ), > 0, on C is...
- If y(x) = (x^x)^x, x > 0, then d^ 2 x/dy^ 2 + 20 at x = 1 is equal to _____.
- Let x(t) = 2 2 cos t 2t) and y(t) = 2 2 sin t 2t), t (0, /2). Then (1 + (dy/dx)^ 2 )/(d^ 2 y/dx^ 2 ) at t = /4 is equal to
- What is the derivative of ^2( ^ -1 x) with respect to x?
- If f(x)= ( x), then f'(x) is equal to
- Let ℝ denote the set of all real numbers. Let f : ℝ → ℝ and g : ℝ → (0, 4) be functions defined by f(x) = _e(x^2 + 2x + 4), and...
- If 2x^y+3y^x=20, then dy dx at (2, 2) is equal to-
- If f(x) = x^3-x^2f'(1)+xf''(2)-f'''(3), x R, then
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