What is the equation of the line tangent to # f(x)=(3x-1)(2x+4)# at # x=0 #? Calculus Derivatives Tangent Line to a Curve 1 Answer Bio Dec 24, 2015 Equation of line: #y = 10x - 4# Explanation: #f(x) = 6x^2 + 10x - 4# #f(0) = -4# (This is the #y#-intercept of the tangent line) #f'(x) = 12x + 10# #f'(0) = 10# (This is the gradient of the tangent line) Equation of line: #y = 10x - 4# Answer link Related questions How do you find the equation of a tangent line to a curve? How do you find the slope of the tangent line to a curve at a point? How do you find the tangent line to the curve #y=x^3-9x# at the point where #x=1#? How do you know if a line is tangent to a curve? How do you show a line is a tangent to a curve? How do you find the Tangent line to a curve by implicit differentiation? What is the slope of a line tangent to the curve #3y^2-2x^2=1#? How does tangent slope relate to the slope of a line? What is the slope of a horizontal tangent line? How do you find the slope of a tangent line using secant lines? See all questions in Tangent Line to a Curve Impact of this question 1388 views around the world You can reuse this answer Creative Commons License