(Solved): Find \( f^{\prime}(x) \) using the appropriate formula : a) \( \quad f(x)=\sin (5 x+3) \) b) \( \q ...

Find \( f^{\prime}(x) \) using the appropriate formula : a) \( \quad f(x)=\sin (5 x+3) \) b) \( \quad f(x)=\ln \left(5 x^{3}-4 x+10\right) \) c) \( \quad f(x)=e^{3 x^{3}-2 x} \) d) \( \quad f(x)=\tan \left(9 x^{2}-4 x+10\right) \) Find the derivative of the \( y^{6}+5 y=\sin (3 x)+10 x \) implicitly Find the derivative the equation of a tangent line to the function \( f(x)=x^{3}+3 x^{2}-2 x+3 \) at \( x=1 \) and \( y=5 \)