Differentiate, with respect to x, e^3x + ln 2x,
e^3x differentiates to 3e^3x as you multiply the function e^3x by the derivative of the inside function 3x. 3x differentiates to 3, so the answer is 3 multiplied by e^3x. The derivative of a natural log function is the multiplication of the derivative of the inside function which 1/x. In this case, 2x differentiates to 2, so the answer is 2 multiplied by 1/x = 2/x.
So the answer is 3e^3x + 2/x.
PA
Related Maths A Level answers
All answers ▸Explain how integration via substitution works.
Find the 12th term and the sum of the first 9 terms on the following Arithmetic Progression: a = 2 and d = 3
By completing the square, find the values of x that satisfy x^4 -8x^2 +15 = 0
Given y = 2x(x^2 – 1)^5, show that dy/dx = g(x)(x^2 – 1)^4 where g(x) is a function to be determined.