Differentiate with respect to xxx: x2cos3xx^2 \cos 3xx2cos3x.
Differentiate with respect to xxx: ln(x2+1)x2+1\displaystyle \frac{\ln(x^2 + 1)}{x^2 + 1}x2+1ln(x2+1).
A curve C C\,C has the equation y=(4x+1),x>−14,y>0\displaystyle y = \sqrt{(4x+1)}, x > -\frac{1}{4}, y > 0y=(4x+1),x>−41,y>0. The point P P\,P on the curve has xxx-coordinate 2. Find an equation of the tangent to C C\,C at P P\,P in the form ax+by+c=0ax + by + c = 0ax+by+c=0, where aaa, b b\,b and c c\,c are integers.
Practise Edexcel A Level Old Maths Differentiation with exam-style questions for A Level Old Maths. 14 questions, matched to the Edexcel A Level Old Maths (9371) specification and written in Unit exams C1, C2, C3 and C4 plus two applied units (e.g. S1 and M1) style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.