6. Differential Calculus
Interactive practice questions
The curve $y=-5x\sin x$y=−5xsinx passes through the point $P\left(\pi,0\right)$P(π,0).
Find the equation of the tangent at point $P$P.
Medium
6min
Consider the function $y=\frac{\sin x}{1+\cos x}$y=sinx1+cosx.
Medium
5min
Consider the function $f\left(x\right)=\cos2x-\sqrt{3}\sin2x$f(x)=cos2x−√3sin2x.
Medium
10min
Consider the function $f\left(x\right)=-4\cos3x$f(x)=−4cos3x.
Solve for $\theta$θ, the angle that the tangent at $x=\frac{\pi}{12}$x=π12 makes with the positive $x$x-axis.
Give your answer to the nearest degree.
Medium
5min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account