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If f(x)a n dg(x) a re differentiate fun...

If `f(x)a n dg(x)` a re differentiate functions, then show that `f(x)+-g(x)` are also differentiable such that `d/(dx){f(x)+-g(x)}=d/(dx){f(x)}+-d/(dx){g(x)}`

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RD SHARMA ENGLISH-DERIVATIVES-All Questions
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  2. If is a real valued function defined by f(x)=x^2+4x+3, then find f^(pr...

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  3. If f(x)a n dg(x) a re differentiate functions, then show that f(x)+-g...

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  4. If f(x)a n dg(f) are two differentiable functions and g(x)!=0 , then s...

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  5. If u, v and w are functions of x, then show that d/(dx)(udotvdotw)=(d ...

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  6. Differentiation of a constant function is zero i.e., d/(dx)(c)=0.

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  7. If f(x)=m x+ca n df(0)=f^(prime)(0)=1. What is f(2)?

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  8. Find (dy)/(dx),w h e ny=3tanx+5(log)a x+sqrt(x)-3e^x+1/xdot

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

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

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

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

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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...

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  15. Find the derivative of "f"("x")="k a t x"=0" and x"=5.

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  16. Find the derivative of "sin x \ a t\ x"=0.

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  17. Let f be a real valued function defined by f(x)=x^2+1. Find f'(2).

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  18. Find the derivative of f(x)=2x^2+3x-5 at x=-1. Also, prove that f'(0)+...

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  19. Find the derivative of "f"("x")=3"x\ a t\ x"=2.

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  20. Find the derivative of "f"("x")="x"^2-2"\ a t\ x"=10

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