Find the derivative of $v(x)=\cos \left(x^2\right)$, with $x$ in radians. Note that this is a cosine OF a power, not a power of a cosine.

Find the derivative of $g(x)=\sin \left(-9x^2+1\right)$, with $x$ in radians.

Find the derivative of $v(x)={\cos }^{7}x$, with $x$ in radians. (Here ${\cos }^{7}x$ means ${\left(\cos x\right)}^7$.)

Find the derivative of $s(x)=\sin \left(-x-6\right)$, with $x$ in radians.

Find the derivative of $w(x)=\sin \left(6x+8\right)$, with $x$ in radians.

Find the derivative of $v(x)={\sin }^{7}x$, with $x$ in radians. (Here ${\sin }^{7}x$ means ${\left(\sin x\right)}^7$.)

For $r(x)=3\sin x$, find $r^{\prime }\left(\frac{3\pi }{4}\right)$, with $x$ in radians.

Find the derivative of $u(x)=\tan \left(-5x^2-2\right)$, with $x$ in radians.

For $q(x)=4\cos x$, find $q^{\prime }\left(\frac{11\pi }{6}\right)$, with $x$ in radians.

Find the derivative of $w(x)=\cos \left(-x^2+9\right)$, with $x$ in radians.

Find the derivative of $w(x)=\sin \left(x^4\right)$, with $x$ in radians. Note that this is a sine OF a power, not a power of a sine.

Find the derivative of $f(x)={\sin }^{2}x$, with $x$ in radians. (Here ${\sin }^{2}x$ means ${\left(\sin x\right)}^2$.)

Find the derivative of $p(x)={\cos }^{6}x$, with $x$ in radians. (Here ${\cos }^{6}x$ means ${\left(\cos x\right)}^6$.)

Find the derivative of $g(x)={\cos }^{4}x$, with $x$ in radians. (Here ${\cos }^{4}x$ means ${\left(\cos x\right)}^4$.)

For $w(x)=2\cos x$, find $w^{\prime }\left(\frac{2\pi }{3}\right)$, with $x$ in radians.

Find the derivative of $p(x)=7\sin \left(5x\right)$, with $x$ in radians.

Find the derivative of $q(x)=\cos \left(7x^2-4\right)$, with $x$ in radians.

Find the derivative of $r(x)=\tan \left(6x+1\right)$, with $x$ in radians.

Find the derivative of $f(x)=\cos \left(x^6\right)$, with $x$ in radians. Note that this is a cosine OF a power, not a power of a cosine.

Find the derivative of $v(x)=\sin \left(-x^2-5\right)$, with $x$ in radians.

For $f(x)=4\sin x$, find $f^{\prime }\left(\frac{5\pi }{3}\right)$, with $x$ in radians.

Find the derivative of $p(x)={\sin }^{6}x$, with $x$ in radians. (Here ${\sin }^{6}x$ means ${\left(\sin x\right)}^6$.)

For $r(x)=3\cos x$, find $r^{\prime }\left(\frac{2\pi }{3}\right)$, with $x$ in radians.

Find the derivative of $r(x)=\cos \left(9x\right)$, with $x$ in radians.

Find the derivative of $v(x)=-7\cos \left(-6x\right)$, with $x$ in radians.

Find the derivative of $g(x)=\cos \left(2x^2+6\right)$, with $x$ in radians.

Find the derivative of $s(x)={\sin }^{3}x$, with $x$ in radians. (Here ${\sin }^{3}x$ means ${\left(\sin x\right)}^3$.)

Find the derivative of $p(x)=-6\cos \left(-2x\right)$, with $x$ in radians.

Find the derivative of $f(x)={\cos }^{2}x$, with $x$ in radians. (Here ${\cos }^{2}x$ means ${\left(\cos x\right)}^2$.)

Find the derivative of $f(x)=-8\cos \left(4x\right)$, with $x$ in radians.

Find the derivative of $g(x)={\sin }^{4}x$, with $x$ in radians. (Here ${\sin }^{4}x$ means ${\left(\sin x\right)}^4$.)

Find the derivative of $u(x)={\cos }^{5}x$, with $x$ in radians. (Here ${\cos }^{5}x$ means ${\left(\cos x\right)}^5$.)

Find the derivative of $r(x)=-2\cos \left(3x\right)$, with $x$ in radians.

Find the derivative of $f(x)=\tan \left(-6x^2+3\right)$, with $x$ in radians.

Find the derivative of $q(x)=\sin \left(x^3\right)$, with $x$ in radians. Note that this is a sine OF a power, not a power of a sine.

Find the derivative of $r(x)=\cos \left(x^5\right)$, with $x$ in radians. Note that this is a cosine OF a power, not a power of a cosine.

Find the derivative of $p(x)=\sin \left(6x+2\right)$, with $x$ in radians.

Find the derivative of $q(x)=\cos \left(x^3\right)$, with $x$ in radians. Note that this is a cosine OF a power, not a power of a cosine.

For $r(x)=3\sin x$, find $r^{\prime }\left(\frac{7\pi }{4}\right)$, with $x$ in radians.

Find the derivative of $s(x)=\tan \left(-4x-9\right)$, with $x$ in radians.