Methods of Differentiations questions
285 published questions with worked solutions.
- The value of log_e 2 · d/dx (log_ cos x cosec x) at x = /4 is
- Let f be a real-valued function defined on the interval (-1, 1) such that e^ -x f(x) = 2 + _0^x t^4 + 1 ,dt, for all x (-1, 1),...
- Let f: R R , g: R R and h: R R be differentiable functions such that f(x)=x^3+3x+2, g(f(x))=x and h(g(g(x)))=x for all x R . Then
- If f(x) = x^2, then the value of f(1.1) - f(1) (1.1 - 1) is
- If F(x)= 9-x^2 , then what is _ x 1 F(x)-F(1) x-1 equal to?
- What is d^2x dy^2 equal to?
- What is the derivative of _ 10 (5x^2+3) with respect to x?
- If y=( x)^ ( x)^ ( x)^ ^ ^ , then dy dx is equal to
- If y= ^ -1 ( 2x 1+x^2 ), then dy dx is equal to
- What is the derivative of the function f(x)=e^ x + ( x)-e^ x at x= 4 ?
- If f(x)= 25-x^2 , then what is _ x 1 f(x)-f(1) x-1 equal to?
- If y= ( x), then which one of the following is correct?
- Let f(x+y)=f(x)f(y) and f(x)=1+xg(x) (x), where _ x 0 g(x)=a and _ x 0 (x)=b. Then what is f'(x) equal to?
- What is the derivative of 2^ ( x)^2 with respect to x?
- If x^my^n=a^ m+n , then what is dy dx equal to?
- What is the derivative of ^ -1 x with respect to ^ -1 x?
- If x^yy^x=1, then what is dy dx at (1, 1) equal to?
- If y=(x^x)^x, then what is the value of dy dx at x=1?
- If y=(x^x)^x, then which one of the following is correct?
- What is _ h 0 ^2(x+h)- ^2x h equal to?
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