How do you find all points on the graph of f(x)=sin^2x at which the tangent line is horizontal? Calculus Differentiating Trigonometric Functions Derivative Rules for y=cos(x) and y=tan(x) 1 Answer Alberto P. Nov 8, 2016 graph{(sinx)^2 [-10, 10, -5, 5]} kpi/2 \ \ \ ;\ \ \ kinZZ Explanation: f^'(x)=2sinxcosx=sin2x sin(2x)=0\ \ \ when \ \ \ \2x=kpi\ \ \ ; \ \ \ k in ZZ Answer link Related questions What is the derivative of y=cos(x) ? What is the derivative of y=tan(x) ? How do you find the 108th derivative of y=cos(x) ? How do you find the derivative of y=cos(x) from first principle? How do you find the derivative of y=cos(x^2) ? How do you find the derivative of y=e^x cos(x) ? How do you find the derivative of y=x^cos(x)? How do you find the second derivative of y=cos(x^2) ? How do you find the 50th derivative of y=cos(x) ? How do you find the derivative of y=cos(x^2) ? See all questions in Derivative Rules for y=cos(x) and y=tan(x) Impact of this question 1965 views around the world You can reuse this answer Creative Commons License