Differentiate sin(x)cos(x) using the product rule.
The product rule states (assuming x' is the differential of x): (fg)′=f′g+fg′ Substitute the values into the rule: (sin(x)cos(x))' = sin(x)'cos(x) + sin(x)cos(x)' (sin(x)cos(x))' = cos2(x) - sin2(x)
MP
Related Maths A Level answers
All answers ▸Find the exact solution of the following equation: e^(4x-3) = 11
Prove that f(x) the inverse function of g(x) where f(x)= - 3x–6 and g(x)= - x/3–2
log3 (9y + b) – log3 (2y – b) = 2, Find y in terms of b.
f(x)=ln(3x+1), x>0 and g(x)=d/dx(f(x)), x>0, find expressions for f^-1 and g