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Find the derivative of $16p^2-100$ using the definition. Apply the definition of the derivative: $\displaystyle f'(x)=\lim_{h\to0}\frac{f(x+h)-f(x)}{h}$. The function $f(x)$ is the function we want to differentiate, which is $16p^2-100$. Substituting $f(x+h)$ and $f(x)$ on the limit, we get
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$\lim_{h\to0}\left(\frac{16\left(p+h\right)^2-100-\left(16p^2-100\right)}{h}\right)$
Learn how to solve integrals of exponential functions problems step by step online. Find the derivative of 16p^2-100 using the definition. Find the derivative of 16p^2-100 using the definition. Apply the definition of the derivative: \displaystyle f'(x)=\lim_{h\to0}\frac{f(x+h)-f(x)}{h}. The function f(x) is the function we want to differentiate, which is 16p^2-100. Substituting f(x+h) and f(x) on the limit, we get. Multiply the single term -1 by each term of the polynomial \left(16p^2-100\right). Add the values -100 and 100. Expand the expression \left(p+h\right)^2 using the square of a binomial: (a+b)^2=a^2+2ab+b^2.