Differentiate 4x^2 + 2ln3x + e^x
To differentiate x2 you bring the power of x down, then reduce the power of x by 1, so d/dx(x2) = 2x1
ln3x differentiates to (d/dx(3x))/3x = 3/3x = 1/x
e^x differentiates to (d/dx(x))e^x = 1e^x
Therefore, d/dx(4x2 + 2ln3x + ex) = 4(2x) +2(1/x) + ex = 8x + 2/x + ex
TM
Related Maths A Level answers
All answers ▸The expansion of (1+x)^4 is 1 + 4x +nx^2 + 4x^3 + x^4. Find the value of n. Hence Find the integral of (1+√y)^4 between the values 1 and 0 (one top, zero bottom).
The lines y = 3x² - x + 5/2 intersects the line y = x/2 +7 at two points. Give their coordinates. Show your working
The gradient of a curve is given by dy/dx = 3 - x^2. The curve passes through the point (6,1). Find the equation of the curve.
How can the trapezium rule be used to estimate a definite integral?