6. Graph y=sinx + cosx restricted to 0<=x<=pi/2. Locate the points on the graph at which the tangent line appears to have slope zero. Then find those x, 0<=x<=pi/2 , for which the function f(x)=sinx+cosx has a horizontal tangent line. (You need to solve the equation: f' (x)=0 for 9<x< pi/2 )

Find the derivative f 'of f and tangent line. Let f(x) = x2 + 4x. ... To find the tangent line equation, it is important to find derivative f' first. ...

... to calculate the slope of the tangent line (the instantaneous ... of what to do with the derivative to find a ...Derivatives, Tangents and Interpreting the Slope of a ...

... What does it mean for the lines to be tangent to the circle? 1) they touch the circle at only one point 2) the derivative for the circle at that point has the ...

... we proved that the slope of the tangent at the ... x0) is directly related to the derivative of the ... differentiable too, which means that its derivatives exist all ...

Derivatives, Tangents and Rate of Change. ... 4. Find the equation of the line that is tangent to the graph of the given function at the specified point. ...

... detailed solutions to some questions on finding derivatives, slope of ... 4)-1 = -9 dx Equation of tangent line will be. ... 5. Calculate the derivative of the function ...

Applications of Derivatives : 10 Derivative Problems, Rate of Change ... dy − 8 6 5 Solution : The derivative of y ... Therefore equation of the tangent line at x= 0 is ...

... Compute the derivative of the given function and find the slope of the line that is tangent to its graph for the specified value of the independent variable. ...