How do I differentiate a trigonometric function for something that is not just a single variable (e.g. d/dx (sin(3x))?
In order to differentiate a trig function with a term in front of the variable you are differentiating, you must use the chain rule. For example d/dx (sin (3x)) becomes 3cos(3x) because you have to multiply the two differentials: 3 and cos (3x).
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All answers ▸How can I try and solve this differentiation, I don`t understand it?
if f is defined on with f(x)=x^2-2x-24(x)^0.5 for x>=0 a) find 1st derivative of f, b) find second derivative of f, c) Verify that function f has a stationary point when x = 4 (c) Determine the type stationary point.
a) i) find dy/dx of y = 3x^4 - 8x^3 - 3 ii) then find d^2y/dx^2 b) verify that x=2 at a stationary point on the curve c c) is this point a minima or a maxima
How would I go about solving 3(x-2) = x+7?