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If f(x)=alphax^n , prove that alpha=(f^(...

If `f(x)=alphax^n ,` prove that `alpha=(f^(prime)(1))/n` .

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RD SHARMA ENGLISH-DERIVATIVES-All Questions
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  2. Differentiate the following functions with respect to x : (x+e^x)/(...

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  3. If f(x)=alphax^n , prove that alpha=(f^(prime)(1))/n .

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  4. Differentiate the following functions with respect to x : (a x+b)^n...

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  5. If f(x)a n dg(x) are two differentiable functions, show that f(x)g(x) ...

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  6. The differentiation of (log)a x (a >0) with respect to x i.e. d/(dx)(...

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  7. If y=sqrt(x/a)+sqrt(a/x) , prove that 2x y(dy)/(dx)=(x/a-a/x)

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  8. If for f(x)=lamdax^2+mux+12 and f'(4)=15 and f'(2)=11, then find lamda...

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  9. Differentiate x^2cosx from first principles .

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  10. Using first principles, prove that d/(dx){1/(f(x))}=-(f^(prime)(x))/({...

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  11. If y=sqrt((1-cos2x)/(1+cos2x),)x in (0,pi/2)uu(pi/2,pi), then find (dy...

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  12. The integration of logx.

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  13. Differentiate the following functions with respect to x from first...

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  14. Differentiate the following functions with respect to x from first p...

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  15. Differentiate xe^n by first principle

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  16. Differentiate the following functions with respect to x from first p...

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  17. The differentiation of t a nx with respect to xi ssec^2xdot i.e. d/(d...

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  18. The differentiation of cotx with respect to x is -cosec^2x i.e. d/(...

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  19. What is the differentiation of secx with respect to x.

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  20. The differentiation of cos e cx with respect to x i s c o s e cxcotxdo...

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