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2. How do you differentiate #y = Ln(5x)#? - Socratic

   socratic.org/questions/how-do-you-differentiate-y-ln-5x

   Explanation: Taking this derivative requires knowing the chain rule and the fact that the derivative of ln(u) = 1 u. Let u = 5x. This means that du dx = 5. Then it follows that. dy dx = d dx ln(u) = 1 u ⋅ du dx = 1 5x ⋅ 5 = 1 x. You can easily prove that for all a ∈ R, d dx ln|ax| = 1 x.

3. How do I find the derivative of #ln(5x)#? - Socratic

   socratic.org/questions/how-do-i-find-the-derivative-of-ln-5x

   What is the derivative of #f(x)=sqrt(1+ln(x)# ? What is the derivative of #f(x)=(ln(x))^2# ? See all questions in Differentiating Logarithmic Functions with Base e

4. What is the derivative of #ln(5x^2)#? - Socratic

   socratic.org/questions/what-is-the-derivative-of-ln-5x-2

   1 Answer. Gió. Feb 17, 2015. You can use the Chain Rule to get: 1 5x2 ⋅ 10x = 2 x. Answer link. iOS.

5. How do you find the derivative of #ln(csc 5x)#? - Socratic

   socratic.org/questions/how-do-you-find-the-derivative-of-ln-csc-5x

   1 Answer. Use the chain rule and. use d dx (lnu) = 1 u du dx. We'll also need d dx (cscu) = −cscucotu du dx. And also #d/dx (5x) = 5. d dx (ln(csc(5x))) = 1 csc(5x) d dx (csc(5x)) sssssssssssssssss = 1 csc(5x) ⋅ (−csc(5x)cot(5x)) d dx (5x) sssssssssssssssss = 1 csc(5x) ⋅ (−csc(5x)cot(5x))(5) We are finished with the calculus, but we ...

6. What is the derivative of #y=x^(5x)#? - Socratic

   socratic.org/questions/what-is-the-derivative-of-y-x-5x

   Learn the steps to calculate the derivative of y=x^(5x) using exponent and chain rule on Socratic.

7. How do you integrate ln(5x+3)? + Example - Socratic

   socratic.org/questions/how-do-you-integrate-ln-5x-3

   But now, to complete the chain rule, we have to multiply by the derivative of the inner function- The derivative of 5x + 3 is simply 5. So the final answer is: d dx ln(5x + 2) = 1 5x +3 ⋅ 5 = 5 5x +3. Answer link. Jim H. May 19, 2015. ∫ln(5x +3)dx. Let w = 5x +3, so that dw = 5dx and the integral becomes: 1 5 ∫lnwdw.

8. What is the derivative of ln x^5? - Socratic

   socratic.org/questions/what-is-the-derivative-of-ln-x-5

   If you forget the logarithm rule loga(bc) = cloga(b), we can show the same derivative a different way. You should know that d dx ln(x) = 1 x. According to the chain rule, this also tells us that d dx ln(u) = 1 u ⋅ du dx. Thus, we see that: d dx ln(x5) = 1 x5 ⋅ d dx x5 = 1 x5 ⋅ 5x4 = 5 x. Answer link. iOS.

9. What is the derivative of #ln(4x)#? - Socratic

   socratic.org/questions/what-is-the-derivative-of-ln-4x

   Use lnab = lna + lnb, to get: d dx (ln4x) = d dx (ln4 +lnx) = d dx (ln4) + d dx (lnx) = 0 +(1 x) = 1 x. (Note that ln4 is some constant, hence its derivative is 0.) 1/x y = ln4x We have a choice. We can either use the chain rule in the form: d/dx (ln (u)) = 1/u * (du)/dx OR we can use properties of logarithms to rewrite the function. Chain Rule ...

10. How do you find the derivative of #ln(5x)#? - Socratic

    socratic.org/questions/how-do-you-find-the-derivative-of-ln-5x

    How do you find the derivative of #ln(5x)#? Calculus Differentiating Logarithmic Functions Differentiating Logarithmic Functions with Base e

11. How do you find the derivative of #ln(e^x)#? - Socratic

    socratic.org/questions/how-do-you-find-the-derivative-of-ln-e-x

    The derivative would be 1. ln (e^x) is simply x. The derivative would be 1.