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Differentiate the following functions wi...

Differentiate the following functions with respect to `x` : `(10^x)/(sinx)`

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To differentiate the function \( f(x) = \frac{10^x}{\sin x} \) with respect to \( x \), we will use the quotient rule and the derivatives of exponential and trigonometric functions. ### Step-by-Step Solution: 1. **Identify the functions**: Let \( u = 10^x \) and \( v = \sin x \). 2. **Differentiate \( u \) and \( v \)**: ...
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RD SHARMA-DERIVATIVES-Solved Examples And Exercises
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  6. If y=1+x/(1!)+(x^2)/(2!)+(x^3)/(3!)++(x^n)/(n !), show that (dy)/(dx)...

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  7. If y=1+x/(1!)+(x^2)/(2!)+(x^3)/(3!)+ , show that (dy)/(dx)=y-x^n/(n!)

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  12. The differentiation of cosx with respect to x is -sinx i.e. d/(dx)(co...

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  13. The differentiation of sinx with respect to x is cosxdot i.e. d/(dx...

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  14. Differentiate logsinx from the first principles.

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  15. Find the derivative of s in x3 from first principles.

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  16. The differentiation of a^x(a >0,a!=1) with respect to x is a^x(log)e a...

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  17. Differentiate e^(sqrt(tanx)) from the first principle.

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  18. If f(x)=x^n where x in R , then differentiation of x^n with respect t...

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  19. Find the derivatives of f(x)=tanxa tx=0

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