Josephood7

Find dy/dxdy/dx by implicit differentiation.

dydx=

 Given that g(x)−9xsin(g(x))=40x2+3x−54g(x)−9xsin(g(x))=40x2+3x−54 and g(−65)=0g(−65)=0, find g′(−65)g′(−65).

g′(−65)=g′(−65)= 

Use implicit differentiation to find an equation of the tangent line to the curve at the given point.
x2/3+y2/3=4,(−33√,1)x2/3+y2/3=4,(−33,1)

 (astroid)

Find the sum of the xx- and yy-intercepts of any tangent line to the curve x√+y√=6√x+y=6.

Differentiate y=tan−1(x−1+x2−−−−−√).

Differentiate y=cot−1(t)+cot−1(1/t)y=cot−1⁡(t)+cot−1⁡(1/t).

Differentiate y=sin−1(x/7)y=sin−1⁡(x/7).