Differentiante y = arctan(c)
y = arctan(x)tan(y) = xsec2(y) = dx/dyfrom cos2A + sin2A = 1, we know that 1 + tan2A = sec2A (divide by cos2A), so we substitute in1 + tan2(y) = dx/dyfrom the initial relationship,1 + x2 = dx/dyfinally reciprocate the expression to get1/(1+x2) = dy/dx (Solved)
SS
Related Maths A Level answers
All answers ▸R=1000e^-ct , it takes 5730 years for half of the substance to decay a. find the number of atoms at the start of the decay. b. calculate the number of atoms left when t=22920. c. sketch the function.
Integrate ln(x)/(x^3)
differentiate y=(3x)/(x^2+6)
Given that y = exp(2x) * (x^2 +1)^(5/2), what is dy/dx when x is 0?