At any point (x,y) on a particular curve, the tangent line has a slope equal to 1+ sin (x 5) If the curve pass through (, 0) determine the equation of the | curve.

Q: Sketch the graph of the given function in the interval (-5,5) and then determine the x-intercepts,…

A: Periodicity of tan2πx6-3:  6Domain of  tan2πx6-3 :  Solution:  6n≤ x<3+6n  or   3+6n<x<6+6n…

Q: Find the derivatives of the functions in Exercis

A: Given function is: y=1x sin-5 x-x3 cos3 x We have to find dydx.

Q: Which defines as the process of finding the derivative of a function? *

A: Here, to tell which defines as the process of finding the derivative of a function.

Q: Is there a function whose graph doesn’t have a tangent at some point? Explain by giving an example…

A: We have to show whether their exists a function whose graph doesn’t have a tangent at some point.

Q: Write an equation for z' if z(x) = 3x2 + 5x + 1. Then, write the equation of the tangent line in…

A:

Q: Use the reduction formulas to reduce sin^4 θ to only linear powers of cosine (cos(θ) = ”linear”,…

A:

Q: The graph of f(x)=x^3-3x^2-3x+10 has a slope of 6 at two points. Find the coordinates of the points…

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Q: Find the derivative using the long method 3-t to

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Q: find an equation of the tangent line to the curve cos(x)+10y^2=xy^9+31 at the point (0, √3) assume…

A: Here we have to find the tangent of the line to the given curve at the given point.

Q: f(x) = 2√3 x, g(x) = 2x − 4, y h(x) = 3x3. Encuentra el valor de cada expresio ́n. (a) (f ◦ g)(7),…

A: Given query is to find the value of the indicated function.

Q: The equation is x+sin(πx). The first derivative is 1+πcos(πx). The second derivative is…

A:

Q: plot the curve where (y^2)-2 /(y+3) = x^3/x+4, including all interesting features. match slopes at…

A: Here, By differentiating with respect to x