Top answers

Let f(x) = 5x^4 + 6x^3 + 3, find dy/dx at x = 3

First we must differentiate the equation with respect to x. To differentiate you must multiply the coefficient (number in front) by the power of x, then subtract 1 from the power. So here we find dy/dx = (5 ...
FK
Answered by Francesca K. • Maths tutor
3923 Views

Differentiate y = x^3 + 2x^2 + 4x + 3

3 x 2 + 2x + 4
BB
Answered by Billy B. • Maths tutor
4239 Views

Find the integral of a^(x) where a is a constant

Starting with ∫a x dx , We can re-write a x using logs as e ln(a)*x using some of their properties We use the substitution u = ln(a)*x (as such du/dx = ln(a)) allowing us to easily integrate e u with respect...
AP
Answered by Andreas P. • Maths tutor
3782 Views

Solve the differential equation dx/dt=-6*x , given when t=0 x=7.

You start by seperating the variables giving, (1/x)*dx=(-6)*dt you then integrate both sides with respect to the variables, ln(x)=-6*t+c you then subsitute in the given conditions to find 'c', ln(7)=0+c ther...
LC
Answered by Lucy C. • Maths tutor
8805 Views

integrate x^2 + ln(x)

x^3/3 + 1/x
BM
Answered by Beth M. • Maths tutor
4054 Views