6. Determine an equation for the tangent to each curve at the indicated value.
a) $f(x)=\left(x^{2}-3\right)\left(x^{2}+1\right), x=-4$
b) $g(x)=\left(2 x^{2}-1\right)\left(-x^{2}+3\right), x=2$
c) $h(x)=\left(x^{4}+4\right)\left(2 x^{2}-6\right), x=-1$
d) $p(x)=\left(-x^{3}+2\right)\left(4 x^{2}-3\right), x=3$

Question

Accepted Answer

I see that you have a question about determining an equation for the tangent to each curve at the indicated value. Let's start with part a) $f(x)=\left(x^{2}-3\right)\left(x^{2}+1\right), x=-4$. To find the equation for the tangent, we need to take the derivative of the function and then substitute the given value of x into the derivative to find the slope of the tangent. After that, we can use the point-slope form to find the equation of the tangent line. Would you like me to walk

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